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Finding the Third Proportional to 71,431,098 and 155,039,408

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Solution

The third proportional to 71,431,098 and 155,039,408 is: 336,509,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,431,098 : 155,039,408 = 155,039,408 : x
  2. Step 2: Convert to fraction form
    71,431,098/155,039,408 = 155,039,408/x
  3. Step 3: Cross multiply
    71,431,098x = 155,039,408 × 155,039,408
  4. Step 4: Simplify right side
    71,431,098x = 24,037,218,032,990,464
  5. Step 5: Solve for x
    x = 24,037,218,032,990,464/71,431,098
  6. Step 6: Final answer
    x = 336,509,149.46

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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.