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Finding the Third Proportional to 48,932 and 108,612

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Solution

The third proportional to 48,932 and 108,612 is: 241,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,932 : 108,612 = 108,612 : x
  2. Step 2: Convert to fraction form
    48,932/108,612 = 108,612/x
  3. Step 3: Cross multiply
    48,932x = 108,612 × 108,612
  4. Step 4: Simplify right side
    48,932x = 11,796,566,544
  5. Step 5: Solve for x
    x = 11,796,566,544/48,932
  6. Step 6: Final answer
    x = 241,080.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.