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Finding the Third Proportional to 36,610 and 77,540

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Solution

The third proportional to 36,610 and 77,540 is: 164,229.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,610 : 77,540 = 77,540 : x
  2. Step 2: Convert to fraction form
    36,610/77,540 = 77,540/x
  3. Step 3: Cross multiply
    36,610x = 77,540 × 77,540
  4. Step 4: Simplify right side
    36,610x = 6,012,451,600
  5. Step 5: Solve for x
    x = 6,012,451,600/36,610
  6. Step 6: Final answer
    x = 164,229.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.