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Finding the Third Proportional to 239,740 and 516,842

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Solution

The third proportional to 239,740 and 516,842 is: 1,114,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,740 : 516,842 = 516,842 : x
  2. Step 2: Convert to fraction form
    239,740/516,842 = 516,842/x
  3. Step 3: Cross multiply
    239,740x = 516,842 × 516,842
  4. Step 4: Simplify right side
    239,740x = 267,125,652,964
  5. Step 5: Solve for x
    x = 267,125,652,964/239,740
  6. Step 6: Final answer
    x = 1,114,230.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.