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Finding the Third Proportional to 127,122.75 and 172,648.69

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Solution

The third proportional to 127,122.75 and 172,648.69 is: 234,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,122.75 : 172,648.69 = 172,648.69 : x
  2. Step 2: Convert to fraction form
    127,122.75/172,648.69 = 172,648.69/x
  3. Step 3: Cross multiply
    127,122.75x = 172,648.69 × 172,648.69
  4. Step 4: Simplify right side
    127,122.75x = 29,807,569,295.47
  5. Step 5: Solve for x
    x = 29,807,569,295.47/127,122.75
  6. Step 6: Final answer
    x = 234,478.64

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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.