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Finding the Third Proportional to 129,957.75 and 279,254.25

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Solution

The third proportional to 129,957.75 and 279,254.25 is: 600,063.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,957.75 : 279,254.25 = 279,254.25 : x
  2. Step 2: Convert to fraction form
    129,957.75/279,254.25 = 279,254.25/x
  3. Step 3: Cross multiply
    129,957.75x = 279,254.25 × 279,254.25
  4. Step 4: Simplify right side
    129,957.75x = 77,982,936,143.06
  5. Step 5: Solve for x
    x = 77,982,936,143.06/129,957.75
  6. Step 6: Final answer
    x = 600,063.76

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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.