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Finding the Third Proportional to 42,737.20 and 92,999.81

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Solution

The third proportional to 42,737.20 and 92,999.81 is: 202,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,737.20 : 92,999.81 = 92,999.81 : x
  2. Step 2: Convert to fraction form
    42,737.20/92,999.81 = 92,999.81/x
  3. Step 3: Cross multiply
    42,737.20x = 92,999.81 × 92,999.81
  4. Step 4: Simplify right side
    42,737.20x = 8,648,965,125.04
  5. Step 5: Solve for x
    x = 8,648,965,125.04/42,737.20
  6. Step 6: Final answer
    x = 202,375.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.