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Finding the Third Proportional to 38,830 and 80,137

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Solution

The third proportional to 38,830 and 80,137 is: 165,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,830 : 80,137 = 80,137 : x
  2. Step 2: Convert to fraction form
    38,830/80,137 = 80,137/x
  3. Step 3: Cross multiply
    38,830x = 80,137 × 80,137
  4. Step 4: Simplify right side
    38,830x = 6,421,938,769
  5. Step 5: Solve for x
    x = 6,421,938,769/38,830
  6. Step 6: Final answer
    x = 165,386.01

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.