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Finding the Third Proportional to 127,987 and 172,296

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Solution

The third proportional to 127,987 and 172,296 is: 231,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,987 : 172,296 = 172,296 : x
  2. Step 2: Convert to fraction form
    127,987/172,296 = 172,296/x
  3. Step 3: Cross multiply
    127,987x = 172,296 × 172,296
  4. Step 4: Simplify right side
    127,987x = 29,685,911,616
  5. Step 5: Solve for x
    x = 29,685,911,616/127,987
  6. Step 6: Final answer
    x = 231,944.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.