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Finding the Third Proportional to 36,558 and 78,660

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Solution

The third proportional to 36,558 and 78,660 is: 169,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,558 : 78,660 = 78,660 : x
  2. Step 2: Convert to fraction form
    36,558/78,660 = 78,660/x
  3. Step 3: Cross multiply
    36,558x = 78,660 × 78,660
  4. Step 4: Simplify right side
    36,558x = 6,187,395,600
  5. Step 5: Solve for x
    x = 6,187,395,600/36,558
  6. Step 6: Final answer
    x = 169,248.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.