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Finding the Third Proportional to 123,545.25 and 257,811.75

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Solution

The third proportional to 123,545.25 and 257,811.75 is: 537,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,545.25 : 257,811.75 = 257,811.75 : x
  2. Step 2: Convert to fraction form
    123,545.25/257,811.75 = 257,811.75/x
  3. Step 3: Cross multiply
    123,545.25x = 257,811.75 × 257,811.75
  4. Step 4: Simplify right side
    123,545.25x = 66,466,898,438.06
  5. Step 5: Solve for x
    x = 66,466,898,438.06/123,545.25
  6. Step 6: Final answer
    x = 537,996.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.