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Finding the Third Proportional to 121,128 and 282,925

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Solution

The third proportional to 121,128 and 282,925 is: 660,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,128 : 282,925 = 282,925 : x
  2. Step 2: Convert to fraction form
    121,128/282,925 = 282,925/x
  3. Step 3: Cross multiply
    121,128x = 282,925 × 282,925
  4. Step 4: Simplify right side
    121,128x = 80,046,555,625
  5. Step 5: Solve for x
    x = 80,046,555,625/121,128
  6. Step 6: Final answer
    x = 660,842.71

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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.