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Finding the Third Proportional to 100,581.75 and 140,955.19

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Solution

The third proportional to 100,581.75 and 140,955.19 is: 197,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,581.75 : 140,955.19 = 140,955.19 : x
  2. Step 2: Convert to fraction form
    100,581.75/140,955.19 = 140,955.19/x
  3. Step 3: Cross multiply
    100,581.75x = 140,955.19 × 140,955.19
  4. Step 4: Simplify right side
    100,581.75x = 19,868,364,883.16
  5. Step 5: Solve for x
    x = 19,868,364,883.16/100,581.75
  6. Step 6: Final answer
    x = 197,534.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.