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Finding the Third Proportional to 55,009 and 81,514

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Solution

The third proportional to 55,009 and 81,514 is: 120,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,009 : 81,514 = 81,514 : x
  2. Step 2: Convert to fraction form
    55,009/81,514 = 81,514/x
  3. Step 3: Cross multiply
    55,009x = 81,514 × 81,514
  4. Step 4: Simplify right side
    55,009x = 6,644,532,196
  5. Step 5: Solve for x
    x = 6,644,532,196/55,009
  6. Step 6: Final answer
    x = 120,789.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.