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Finding the Third Proportional to 99,986.25 and 140,643

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Solution

The third proportional to 99,986.25 and 140,643 is: 197,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,986.25 : 140,643 = 140,643 : x
  2. Step 2: Convert to fraction form
    99,986.25/140,643 = 140,643/x
  3. Step 3: Cross multiply
    99,986.25x = 140,643 × 140,643
  4. Step 4: Simplify right side
    99,986.25x = 19,780,453,449
  5. Step 5: Solve for x
    x = 19,780,453,449/99,986.25
  6. Step 6: Final answer
    x = 197,831.74

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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.