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Finding the Third Proportional to 129,326 and 279,040

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Solution

The third proportional to 129,326 and 279,040 is: 602,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,326 : 279,040 = 279,040 : x
  2. Step 2: Convert to fraction form
    129,326/279,040 = 279,040/x
  3. Step 3: Cross multiply
    129,326x = 279,040 × 279,040
  4. Step 4: Simplify right side
    129,326x = 77,863,321,600
  5. Step 5: Solve for x
    x = 77,863,321,600/129,326
  6. Step 6: Final answer
    x = 602,070.13

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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.