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Finding the Third Proportional to 38,778 and 83,747

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Solution

The third proportional to 38,778 and 83,747 is: 180,864.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,778 : 83,747 = 83,747 : x
  2. Step 2: Convert to fraction form
    38,778/83,747 = 83,747/x
  3. Step 3: Cross multiply
    38,778x = 83,747 × 83,747
  4. Step 4: Simplify right side
    38,778x = 7,013,560,009
  5. Step 5: Solve for x
    x = 7,013,560,009/38,778
  6. Step 6: Final answer
    x = 180,864.41

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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.