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Finding the Third Proportional to 127,154.25 and 172,685.25

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Solution

The third proportional to 127,154.25 and 172,685.25 is: 234,519.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,154.25 : 172,685.25 = 172,685.25 : x
  2. Step 2: Convert to fraction form
    127,154.25/172,685.25 = 172,685.25/x
  3. Step 3: Cross multiply
    127,154.25x = 172,685.25 × 172,685.25
  4. Step 4: Simplify right side
    127,154.25x = 29,820,195,567.56
  5. Step 5: Solve for x
    x = 29,820,195,567.56/127,154.25
  6. Step 6: Final answer
    x = 234,519.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.