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Finding the Third Proportional to 76,553 and 108,875

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Solution

The third proportional to 76,553 and 108,875 is: 154,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,553 : 108,875 = 108,875 : x
  2. Step 2: Convert to fraction form
    76,553/108,875 = 108,875/x
  3. Step 3: Cross multiply
    76,553x = 108,875 × 108,875
  4. Step 4: Simplify right side
    76,553x = 11,853,765,625
  5. Step 5: Solve for x
    x = 11,853,765,625/76,553
  6. Step 6: Final answer
    x = 154,843.91

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.