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Finding the Third Proportional to 42,743 and 66,355

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Solution

The third proportional to 42,743 and 66,355 is: 103,010.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,743 : 66,355 = 66,355 : x
  2. Step 2: Convert to fraction form
    42,743/66,355 = 66,355/x
  3. Step 3: Cross multiply
    42,743x = 66,355 × 66,355
  4. Step 4: Simplify right side
    42,743x = 4,402,986,025
  5. Step 5: Solve for x
    x = 4,402,986,025/42,743
  6. Step 6: Final answer
    x = 103,010.69

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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.