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Finding the Third Proportional to 127,349 and 172,339

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Solution

The third proportional to 127,349 and 172,339 is: 233,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,349 : 172,339 = 172,339 : x
  2. Step 2: Convert to fraction form
    127,349/172,339 = 172,339/x
  3. Step 3: Cross multiply
    127,349x = 172,339 × 172,339
  4. Step 4: Simplify right side
    127,349x = 29,700,730,921
  5. Step 5: Solve for x
    x = 29,700,730,921/127,349
  6. Step 6: Final answer
    x = 233,223.12

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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.