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Finding the Third Proportional to 38,374 and 78,650

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Solution

The third proportional to 38,374 and 78,650 is: 161,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,374 : 78,650 = 78,650 : x
  2. Step 2: Convert to fraction form
    38,374/78,650 = 78,650/x
  3. Step 3: Cross multiply
    38,374x = 78,650 × 78,650
  4. Step 4: Simplify right side
    38,374x = 6,185,822,500
  5. Step 5: Solve for x
    x = 6,185,822,500/38,374
  6. Step 6: Final answer
    x = 161,198.27

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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.