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Finding the Third Proportional to 99,989.50 and 140,628.75

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Solution

The third proportional to 99,989.50 and 140,628.75 is: 197,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,989.50 : 140,628.75 = 140,628.75 : x
  2. Step 2: Convert to fraction form
    99,989.50/140,628.75 = 140,628.75/x
  3. Step 3: Cross multiply
    99,989.50x = 140,628.75 × 140,628.75
  4. Step 4: Simplify right side
    99,989.50x = 19,776,445,326.56
  5. Step 5: Solve for x
    x = 19,776,445,326.56/99,989.50
  6. Step 6: Final answer
    x = 197,785.22

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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.