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Finding the Third Proportional to 81,820.13 and 109,360.13

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Solution

The third proportional to 81,820.13 and 109,360.13 is: 146,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,820.13 : 109,360.13 = 109,360.13 : x
  2. Step 2: Convert to fraction form
    81,820.13/109,360.13 = 109,360.13/x
  3. Step 3: Cross multiply
    81,820.13x = 109,360.13 × 109,360.13
  4. Step 4: Simplify right side
    81,820.13x = 11,959,636,940.02
  5. Step 5: Solve for x
    x = 11,959,636,940.02/81,820.13
  6. Step 6: Final answer
    x = 146,169.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.