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Finding the Third Proportional to 121,154 and 282,995

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Solution

The third proportional to 121,154 and 282,995 is: 661,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,154 : 282,995 = 282,995 : x
  2. Step 2: Convert to fraction form
    121,154/282,995 = 282,995/x
  3. Step 3: Cross multiply
    121,154x = 282,995 × 282,995
  4. Step 4: Simplify right side
    121,154x = 80,086,170,025
  5. Step 5: Solve for x
    x = 80,086,170,025/121,154
  6. Step 6: Final answer
    x = 661,027.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.