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Finding the Third Proportional to 18,435 and 29,637

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Solution

The third proportional to 18,435 and 29,637 is: 47,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,435 : 29,637 = 29,637 : x
  2. Step 2: Convert to fraction form
    18,435/29,637 = 29,637/x
  3. Step 3: Cross multiply
    18,435x = 29,637 × 29,637
  4. Step 4: Simplify right side
    18,435x = 878,351,769
  5. Step 5: Solve for x
    x = 878,351,769/18,435
  6. Step 6: Final answer
    x = 47,645.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.