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Finding the Third Proportional to 38,466 and 78,836

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Solution

The third proportional to 38,466 and 78,836 is: 161,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,466 : 78,836 = 78,836 : x
  2. Step 2: Convert to fraction form
    38,466/78,836 = 78,836/x
  3. Step 3: Cross multiply
    38,466x = 78,836 × 78,836
  4. Step 4: Simplify right side
    38,466x = 6,215,114,896
  5. Step 5: Solve for x
    x = 6,215,114,896/38,466
  6. Step 6: Final answer
    x = 161,574.24

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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.