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Finding the Third Proportional to 42,637 and 93,734

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Solution

The third proportional to 42,637 and 93,734 is: 206,066.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,637 : 93,734 = 93,734 : x
  2. Step 2: Convert to fraction form
    42,637/93,734 = 93,734/x
  3. Step 3: Cross multiply
    42,637x = 93,734 × 93,734
  4. Step 4: Simplify right side
    42,637x = 8,786,062,756
  5. Step 5: Solve for x
    x = 8,786,062,756/42,637
  6. Step 6: Final answer
    x = 206,066.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.