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Finding the Third Proportional to 126,084 and 257,928

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Solution

The third proportional to 126,084 and 257,928 is: 527,639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,084 : 257,928 = 257,928 : x
  2. Step 2: Convert to fraction form
    126,084/257,928 = 257,928/x
  3. Step 3: Cross multiply
    126,084x = 257,928 × 257,928
  4. Step 4: Simplify right side
    126,084x = 66,526,853,184
  5. Step 5: Solve for x
    x = 66,526,853,184/126,084
  6. Step 6: Final answer
    x = 527,639.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.