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Finding the Third Proportional to 92,400.75 and 133,543.69

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Solution

The third proportional to 92,400.75 and 133,543.69 is: 193,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,400.75 : 133,543.69 = 133,543.69 : x
  2. Step 2: Convert to fraction form
    92,400.75/133,543.69 = 133,543.69/x
  3. Step 3: Cross multiply
    92,400.75x = 133,543.69 × 133,543.69
  4. Step 4: Simplify right side
    92,400.75x = 17,833,916,471.10
  5. Step 5: Solve for x
    x = 17,833,916,471.10/92,400.75
  6. Step 6: Final answer
    x = 193,006.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.