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Finding the Third Proportional to 134,545.50 and 288,414

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Solution

The third proportional to 134,545.50 and 288,414 is: 618,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,545.50 : 288,414 = 288,414 : x
  2. Step 2: Convert to fraction form
    134,545.50/288,414 = 288,414/x
  3. Step 3: Cross multiply
    134,545.50x = 288,414 × 288,414
  4. Step 4: Simplify right side
    134,545.50x = 83,182,635,396
  5. Step 5: Solve for x
    x = 83,182,635,396/134,545.50
  6. Step 6: Final answer
    x = 618,249.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.