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Finding the Third Proportional to 38,407 and 79,479

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Solution

The third proportional to 38,407 and 79,479 is: 164,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407 : 79,479 = 79,479 : x
  2. Step 2: Convert to fraction form
    38,407/79,479 = 79,479/x
  3. Step 3: Cross multiply
    38,407x = 79,479 × 79,479
  4. Step 4: Simplify right side
    38,407x = 6,316,911,441
  5. Step 5: Solve for x
    x = 6,316,911,441/38,407
  6. Step 6: Final answer
    x = 164,472.92

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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.