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Finding the Third Proportional to 134,545.50 and 285,489

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Solution

The third proportional to 134,545.50 and 285,489 is: 605,772.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,545.50 : 285,489 = 285,489 : x
  2. Step 2: Convert to fraction form
    134,545.50/285,489 = 285,489/x
  3. Step 3: Cross multiply
    134,545.50x = 285,489 × 285,489
  4. Step 4: Simplify right side
    134,545.50x = 81,503,969,121
  5. Step 5: Solve for x
    x = 81,503,969,121/134,545.50
  6. Step 6: Final answer
    x = 605,772.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.