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Finding the Third Proportional to 38,598 and 78,267

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Solution

The third proportional to 38,598 and 78,267 is: 158,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,598 : 78,267 = 78,267 : x
  2. Step 2: Convert to fraction form
    38,598/78,267 = 78,267/x
  3. Step 3: Cross multiply
    38,598x = 78,267 × 78,267
  4. Step 4: Simplify right side
    38,598x = 6,125,723,289
  5. Step 5: Solve for x
    x = 6,125,723,289/38,598
  6. Step 6: Final answer
    x = 158,705.72

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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.