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Finding the Third Proportional to 105,229.13 and 137,236.78

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Solution

The third proportional to 105,229.13 and 137,236.78 is: 178,980.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,229.13 : 137,236.78 = 137,236.78 : x
  2. Step 2: Convert to fraction form
    105,229.13/137,236.78 = 137,236.78/x
  3. Step 3: Cross multiply
    105,229.13x = 137,236.78 × 137,236.78
  4. Step 4: Simplify right side
    105,229.13x = 18,833,934,127.86
  5. Step 5: Solve for x
    x = 18,833,934,127.86/105,229.13
  6. Step 6: Final answer
    x = 178,980.24

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.