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Finding the Third Proportional to 18,478 and 39,581

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Solution

The third proportional to 18,478 and 39,581 is: 84,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,478 : 39,581 = 39,581 : x
  2. Step 2: Convert to fraction form
    18,478/39,581 = 39,581/x
  3. Step 3: Cross multiply
    18,478x = 39,581 × 39,581
  4. Step 4: Simplify right side
    18,478x = 1,566,655,561
  5. Step 5: Solve for x
    x = 1,566,655,561/18,478
  6. Step 6: Final answer
    x = 84,784.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.