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Finding the Third Proportional to 209,687,082.54 and 312,712,241.52

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Solution

The third proportional to 209,687,082.54 and 312,712,241.52 is: 466,356,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,687,082.54 : 312,712,241.52 = 312,712,241.52 : x
  2. Step 2: Convert to fraction form
    209,687,082.54/312,712,241.52 = 312,712,241.52/x
  3. Step 3: Cross multiply
    209,687,082.54x = 312,712,241.52 × 312,712,241.52
  4. Step 4: Simplify right side
    209,687,082.54x = 97,788,945,996,175,120
  5. Step 5: Solve for x
    x = 97,788,945,996,175,120/209,687,082.54
  6. Step 6: Final answer
    x = 466,356,557.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.