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Finding the Third Proportional to 239,918 and 516,700

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Solution

The third proportional to 239,918 and 516,700 is: 1,112,792.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,918 : 516,700 = 516,700 : x
  2. Step 2: Convert to fraction form
    239,918/516,700 = 516,700/x
  3. Step 3: Cross multiply
    239,918x = 516,700 × 516,700
  4. Step 4: Simplify right side
    239,918x = 266,978,890,000
  5. Step 5: Solve for x
    x = 266,978,890,000/239,918
  6. Step 6: Final answer
    x = 1,112,792.25

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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.