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Finding the Third Proportional to 92,188.13 and 126,164.25

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Solution

The third proportional to 92,188.13 and 126,164.25 is: 172,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,188.13 : 126,164.25 = 126,164.25 : x
  2. Step 2: Convert to fraction form
    92,188.13/126,164.25 = 126,164.25/x
  3. Step 3: Cross multiply
    92,188.13x = 126,164.25 × 126,164.25
  4. Step 4: Simplify right side
    92,188.13x = 15,917,417,978.06
  5. Step 5: Solve for x
    x = 15,917,417,978.06/92,188.13
  6. Step 6: Final answer
    x = 172,662.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.