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Finding the Third Proportional to 100,422.75 and 142,767

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Solution

The third proportional to 100,422.75 and 142,767 is: 202,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,422.75 : 142,767 = 142,767 : x
  2. Step 2: Convert to fraction form
    100,422.75/142,767 = 142,767/x
  3. Step 3: Cross multiply
    100,422.75x = 142,767 × 142,767
  4. Step 4: Simplify right side
    100,422.75x = 20,382,416,289
  5. Step 5: Solve for x
    x = 20,382,416,289/100,422.75
  6. Step 6: Final answer
    x = 202,966.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.