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Finding the Third Proportional to 99,721.13 and 140,985.56

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Solution

The third proportional to 99,721.13 and 140,985.56 is: 199,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,721.13 : 140,985.56 = 140,985.56 : x
  2. Step 2: Convert to fraction form
    99,721.13/140,985.56 = 140,985.56/x
  3. Step 3: Cross multiply
    99,721.13x = 140,985.56 × 140,985.56
  4. Step 4: Simplify right side
    99,721.13x = 19,876,928,833.44
  5. Step 5: Solve for x
    x = 19,876,928,833.44/99,721.13
  6. Step 6: Final answer
    x = 199,325.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.