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Finding the Third Proportional to 119,424 and 257,496

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Solution

The third proportional to 119,424 and 257,496 is: 555,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,424 : 257,496 = 257,496 : x
  2. Step 2: Convert to fraction form
    119,424/257,496 = 257,496/x
  3. Step 3: Cross multiply
    119,424x = 257,496 × 257,496
  4. Step 4: Simplify right side
    119,424x = 66,304,190,016
  5. Step 5: Solve for x
    x = 66,304,190,016/119,424
  6. Step 6: Final answer
    x = 555,199.88

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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.