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Finding the Third Proportional to 18,632 and 39,416

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Solution

The third proportional to 18,632 and 39,416 is: 83,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,632 : 39,416 = 39,416 : x
  2. Step 2: Convert to fraction form
    18,632/39,416 = 39,416/x
  3. Step 3: Cross multiply
    18,632x = 39,416 × 39,416
  4. Step 4: Simplify right side
    18,632x = 1,553,621,056
  5. Step 5: Solve for x
    x = 1,553,621,056/18,632
  6. Step 6: Final answer
    x = 83,384.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.