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Finding the Third Proportional to 127,284 and 172,782

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Solution

The third proportional to 127,284 and 172,782 is: 234,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,284 : 172,782 = 172,782 : x
  2. Step 2: Convert to fraction form
    127,284/172,782 = 172,782/x
  3. Step 3: Cross multiply
    127,284x = 172,782 × 172,782
  4. Step 4: Simplify right side
    127,284x = 29,853,619,524
  5. Step 5: Solve for x
    x = 29,853,619,524/127,284
  6. Step 6: Final answer
    x = 234,543.38

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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.