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Finding the Third Proportional to 42,005 and 66,545.19

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Solution

The third proportional to 42,005 and 66,545.19 is: 105,422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,005 : 66,545.19 = 66,545.19 : x
  2. Step 2: Convert to fraction form
    42,005/66,545.19 = 66,545.19/x
  3. Step 3: Cross multiply
    42,005x = 66,545.19 × 66,545.19
  4. Step 4: Simplify right side
    42,005x = 4,428,261,979.41
  5. Step 5: Solve for x
    x = 4,428,261,979.41/42,005
  6. Step 6: Final answer
    x = 105,422.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.