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Finding the Third Proportional to 71,431,065 and 155,039,346

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Solution

The third proportional to 71,431,065 and 155,039,346 is: 336,509,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,431,065 : 155,039,346 = 155,039,346 : x
  2. Step 2: Convert to fraction form
    71,431,065/155,039,346 = 155,039,346/x
  3. Step 3: Cross multiply
    71,431,065x = 155,039,346 × 155,039,346
  4. Step 4: Simplify right side
    71,431,065x = 24,037,198,808,107,716
  5. Step 5: Solve for x
    x = 24,037,198,808,107,716/71,431,065
  6. Step 6: Final answer
    x = 336,509,035.78

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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.