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Finding the Third Proportional to 18,585 and 38,076

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Solution

The third proportional to 18,585 and 38,076 is: 78,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,585 : 38,076 = 38,076 : x
  2. Step 2: Convert to fraction form
    18,585/38,076 = 38,076/x
  3. Step 3: Cross multiply
    18,585x = 38,076 × 38,076
  4. Step 4: Simplify right side
    18,585x = 1,449,781,776
  5. Step 5: Solve for x
    x = 1,449,781,776/18,585
  6. Step 6: Final answer
    x = 78,008.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.