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Finding the Third Proportional to 17,778 and 38,903

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Solution

The third proportional to 17,778 and 38,903 is: 85,130.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778 : 38,903 = 38,903 : x
  2. Step 2: Convert to fraction form
    17,778/38,903 = 38,903/x
  3. Step 3: Cross multiply
    17,778x = 38,903 × 38,903
  4. Step 4: Simplify right side
    17,778x = 1,513,443,409
  5. Step 5: Solve for x
    x = 1,513,443,409/17,778
  6. Step 6: Final answer
    x = 85,130.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.