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Finding the Third Proportional to 81,221 and 130,855

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Solution

The third proportional to 81,221 and 130,855 is: 210,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,221 : 130,855 = 130,855 : x
  2. Step 2: Convert to fraction form
    81,221/130,855 = 130,855/x
  3. Step 3: Cross multiply
    81,221x = 130,855 × 130,855
  4. Step 4: Simplify right side
    81,221x = 17,123,031,025
  5. Step 5: Solve for x
    x = 17,123,031,025/81,221
  6. Step 6: Final answer
    x = 210,820.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.