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Finding the Third Proportional to 81,822.66 and 130,118.91

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Solution

The third proportional to 81,822.66 and 130,118.91 is: 206,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,822.66 : 130,118.91 = 130,118.91 : x
  2. Step 2: Convert to fraction form
    81,822.66/130,118.91 = 130,118.91/x
  3. Step 3: Cross multiply
    81,822.66x = 130,118.91 × 130,118.91
  4. Step 4: Simplify right side
    81,822.66x = 16,930,929,763.70
  5. Step 5: Solve for x
    x = 16,930,929,763.70/81,822.66
  6. Step 6: Final answer
    x = 206,922.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.