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Finding the Third Proportional to 145,419,376 and 318,202,495

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Solution

The third proportional to 145,419,376 and 318,202,495 is: 696,281,545.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,419,376 : 318,202,495 = 318,202,495 : x
  2. Step 2: Convert to fraction form
    145,419,376/318,202,495 = 318,202,495/x
  3. Step 3: Cross multiply
    145,419,376x = 318,202,495 × 318,202,495
  4. Step 4: Simplify right side
    145,419,376x = 101,252,827,824,225,024
  5. Step 5: Solve for x
    x = 101,252,827,824,225,024/145,419,376
  6. Step 6: Final answer
    x = 696,281,545.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.