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Finding the Third Proportional to 127,149.75 and 172,686.94

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Solution

The third proportional to 127,149.75 and 172,686.94 is: 234,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,149.75 : 172,686.94 = 172,686.94 : x
  2. Step 2: Convert to fraction form
    127,149.75/172,686.94 = 172,686.94/x
  3. Step 3: Cross multiply
    127,149.75x = 172,686.94 × 172,686.94
  4. Step 4: Simplify right side
    127,149.75x = 29,820,778,383.13
  5. Step 5: Solve for x
    x = 29,820,778,383.13/127,149.75
  6. Step 6: Final answer
    x = 234,532.73

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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.