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Finding the Third Proportional to 38,368 and 79,400

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Solution

The third proportional to 38,368 and 79,400 is: 164,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,368 : 79,400 = 79,400 : x
  2. Step 2: Convert to fraction form
    38,368/79,400 = 79,400/x
  3. Step 3: Cross multiply
    38,368x = 79,400 × 79,400
  4. Step 4: Simplify right side
    38,368x = 6,304,360,000
  5. Step 5: Solve for x
    x = 6,304,360,000/38,368
  6. Step 6: Final answer
    x = 164,312.97

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.