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Finding the Third Proportional to 42,727 and 66,329.88

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Solution

The third proportional to 42,727 and 66,329.88 is: 102,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,727 : 66,329.88 = 66,329.88 : x
  2. Step 2: Convert to fraction form
    42,727/66,329.88 = 66,329.88/x
  3. Step 3: Cross multiply
    42,727x = 66,329.88 × 66,329.88
  4. Step 4: Simplify right side
    42,727x = 4,399,652,317.52
  5. Step 5: Solve for x
    x = 4,399,652,317.52/42,727
  6. Step 6: Final answer
    x = 102,971.24

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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.