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Finding the Third Proportional to 38,158 and 77,394

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Solution

The third proportional to 38,158 and 77,394 is: 156,974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,158 : 77,394 = 77,394 : x
  2. Step 2: Convert to fraction form
    38,158/77,394 = 77,394/x
  3. Step 3: Cross multiply
    38,158x = 77,394 × 77,394
  4. Step 4: Simplify right side
    38,158x = 5,989,831,236
  5. Step 5: Solve for x
    x = 5,989,831,236/38,158
  6. Step 6: Final answer
    x = 156,974.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.