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Finding the Third Proportional to 42,727.50 and 66,330.75

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Solution

The third proportional to 42,727.50 and 66,330.75 is: 102,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,727.50 : 66,330.75 = 66,330.75 : x
  2. Step 2: Convert to fraction form
    42,727.50/66,330.75 = 66,330.75/x
  3. Step 3: Cross multiply
    42,727.50x = 66,330.75 × 66,330.75
  4. Step 4: Simplify right side
    42,727.50x = 4,399,768,395.56
  5. Step 5: Solve for x
    x = 4,399,768,395.56/42,727.50
  6. Step 6: Final answer
    x = 102,972.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.