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Finding the Third Proportional to 129,524 and 279,456

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Solution

The third proportional to 129,524 and 279,456 is: 602,943.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,524 : 279,456 = 279,456 : x
  2. Step 2: Convert to fraction form
    129,524/279,456 = 279,456/x
  3. Step 3: Cross multiply
    129,524x = 279,456 × 279,456
  4. Step 4: Simplify right side
    129,524x = 78,095,655,936
  5. Step 5: Solve for x
    x = 78,095,655,936/129,524
  6. Step 6: Final answer
    x = 602,943.52

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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.