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Finding the Third Proportional to 154,350,819,264 and 334,344,021,072

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Solution

The third proportional to 154,350,819,264 and 334,344,021,072 is: 724,232,789,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,350,819,264 : 334,344,021,072 = 334,344,021,072 : x
  2. Step 2: Convert to fraction form
    154,350,819,264/334,344,021,072 = 334,344,021,072/x
  3. Step 3: Cross multiply
    154,350,819,264x = 334,344,021,072 × 334,344,021,072
  4. Step 4: Simplify right side
    154,350,819,264x = 111,785,924,426,593,978,023,936
  5. Step 5: Solve for x
    x = 111,785,924,426,593,978,023,936/154,350,819,264
  6. Step 6: Final answer
    x = 724,232,789,690.59

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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.