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Finding the Third Proportional to 38,587 and 79,478

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Solution

The third proportional to 38,587 and 79,478 is: 163,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,587 : 79,478 = 79,478 : x
  2. Step 2: Convert to fraction form
    38,587/79,478 = 79,478/x
  3. Step 3: Cross multiply
    38,587x = 79,478 × 79,478
  4. Step 4: Simplify right side
    38,587x = 6,316,752,484
  5. Step 5: Solve for x
    x = 6,316,752,484/38,587
  6. Step 6: Final answer
    x = 163,701.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.