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Finding the Third Proportional to 129,624 and 279,120

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Solution

The third proportional to 129,624 and 279,120 is: 601,030.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,624 : 279,120 = 279,120 : x
  2. Step 2: Convert to fraction form
    129,624/279,120 = 279,120/x
  3. Step 3: Cross multiply
    129,624x = 279,120 × 279,120
  4. Step 4: Simplify right side
    129,624x = 77,907,974,400
  5. Step 5: Solve for x
    x = 77,907,974,400/129,624
  6. Step 6: Final answer
    x = 601,030.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.