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Finding the Third Proportional to 239,861.25 and 516,638.25

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Solution

The third proportional to 239,861.25 and 516,638.25 is: 1,112,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,861.25 : 516,638.25 = 516,638.25 : x
  2. Step 2: Convert to fraction form
    239,861.25/516,638.25 = 516,638.25/x
  3. Step 3: Cross multiply
    239,861.25x = 516,638.25 × 516,638.25
  4. Step 4: Simplify right side
    239,861.25x = 266,915,081,363.06
  5. Step 5: Solve for x
    x = 266,915,081,363.06/239,861.25
  6. Step 6: Final answer
    x = 1,112,789.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.