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Finding the Third Proportional to 111,712 and 239,414

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Solution

The third proportional to 111,712 and 239,414 is: 513,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,712 : 239,414 = 239,414 : x
  2. Step 2: Convert to fraction form
    111,712/239,414 = 239,414/x
  3. Step 3: Cross multiply
    111,712x = 239,414 × 239,414
  4. Step 4: Simplify right side
    111,712x = 57,319,063,396
  5. Step 5: Solve for x
    x = 57,319,063,396/111,712
  6. Step 6: Final answer
    x = 513,096.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.