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Finding the Third Proportional to 42,005.67 and 66,545.93

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Solution

The third proportional to 42,005.67 and 66,545.93 is: 105,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,005.67 : 66,545.93 = 66,545.93 : x
  2. Step 2: Convert to fraction form
    42,005.67/66,545.93 = 66,545.93/x
  3. Step 3: Cross multiply
    42,005.67x = 66,545.93 × 66,545.93
  4. Step 4: Simplify right side
    42,005.67x = 4,428,360,757.97
  5. Step 5: Solve for x
    x = 4,428,360,757.97/42,005.67
  6. Step 6: Final answer
    x = 105,422.92

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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.