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Finding the Third Proportional to 18,371 and 39,649

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Solution

The third proportional to 18,371 and 39,649 is: 85,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,371 : 39,649 = 39,649 : x
  2. Step 2: Convert to fraction form
    18,371/39,649 = 39,649/x
  3. Step 3: Cross multiply
    18,371x = 39,649 × 39,649
  4. Step 4: Simplify right side
    18,371x = 1,572,043,201
  5. Step 5: Solve for x
    x = 1,572,043,201/18,371
  6. Step 6: Final answer
    x = 85,572.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.