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Finding the Third Proportional to 239,912 and 516,688

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Solution

The third proportional to 239,912 and 516,688 is: 1,112,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,912 : 516,688 = 516,688 : x
  2. Step 2: Convert to fraction form
    239,912/516,688 = 516,688/x
  3. Step 3: Cross multiply
    239,912x = 516,688 × 516,688
  4. Step 4: Simplify right side
    239,912x = 266,966,489,344
  5. Step 5: Solve for x
    x = 266,966,489,344/239,912
  6. Step 6: Final answer
    x = 1,112,768.39

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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.