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Finding the Third Proportional to 127,985.88 and 172,294.38

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Solution

The third proportional to 127,985.88 and 172,294.38 is: 231,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,985.88 : 172,294.38 = 172,294.38 : x
  2. Step 2: Convert to fraction form
    127,985.88/172,294.38 = 172,294.38/x
  3. Step 3: Cross multiply
    127,985.88x = 172,294.38 × 172,294.38
  4. Step 4: Simplify right side
    127,985.88x = 29,685,351,656.64
  5. Step 5: Solve for x
    x = 29,685,351,656.64/127,985.88
  6. Step 6: Final answer
    x = 231,942.41

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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.