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Finding the Third Proportional to 115,443 and 172,699.88

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Solution

The third proportional to 115,443 and 172,699.88 is: 258,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,443 : 172,699.88 = 172,699.88 : x
  2. Step 2: Convert to fraction form
    115,443/172,699.88 = 172,699.88/x
  3. Step 3: Cross multiply
    115,443x = 172,699.88 × 172,699.88
  4. Step 4: Simplify right side
    115,443x = 29,825,246,825.02
  5. Step 5: Solve for x
    x = 29,825,246,825.02/115,443
  6. Step 6: Final answer
    x = 258,354.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.