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Finding the Third Proportional to 154,350,819,314 and 334,344,021,333.50

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Solution

The third proportional to 154,350,819,314 and 334,344,021,333.50 is: 724,232,790,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,350,819,314 : 334,344,021,333.50 = 334,344,021,333.50 : x
  2. Step 2: Convert to fraction form
    154,350,819,314/334,344,021,333.50 = 334,344,021,333.50/x
  3. Step 3: Cross multiply
    154,350,819,314x = 334,344,021,333.50 × 334,344,021,333.50
  4. Step 4: Simplify right side
    154,350,819,314x = 111,785,924,601,455,904,292,864
  5. Step 5: Solve for x
    x = 111,785,924,601,455,904,292,864/154,350,819,314
  6. Step 6: Final answer
    x = 724,232,790,588.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.