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Finding the Third Proportional to 154,350,819,308 and 334,344,021,156

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Solution

The third proportional to 154,350,819,308 and 334,344,021,156 is: 724,232,789,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,350,819,308 : 334,344,021,156 = 334,344,021,156 : x
  2. Step 2: Convert to fraction form
    154,350,819,308/334,344,021,156 = 334,344,021,156/x
  3. Step 3: Cross multiply
    154,350,819,308x = 334,344,021,156 × 334,344,021,156
  4. Step 4: Simplify right side
    154,350,819,308x = 111,785,924,482,763,778,424,832
  5. Step 5: Solve for x
    x = 111,785,924,482,763,778,424,832/154,350,819,308
  6. Step 6: Final answer
    x = 724,232,789,848.04

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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.