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Finding the Third Proportional to 18,202 and 38,607

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Solution

The third proportional to 18,202 and 38,607 is: 81,886.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202 : 38,607 = 38,607 : x
  2. Step 2: Convert to fraction form
    18,202/38,607 = 38,607/x
  3. Step 3: Cross multiply
    18,202x = 38,607 × 38,607
  4. Step 4: Simplify right side
    18,202x = 1,490,500,449
  5. Step 5: Solve for x
    x = 1,490,500,449/18,202
  6. Step 6: Final answer
    x = 81,886.63

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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.