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Finding the Third Proportional to 121,377.38 and 269,282.25

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Solution

The third proportional to 121,377.38 and 269,282.25 is: 597,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,377.38 : 269,282.25 = 269,282.25 : x
  2. Step 2: Convert to fraction form
    121,377.38/269,282.25 = 269,282.25/x
  3. Step 3: Cross multiply
    121,377.38x = 269,282.25 × 269,282.25
  4. Step 4: Simplify right side
    121,377.38x = 72,512,930,165.06
  5. Step 5: Solve for x
    x = 72,512,930,165.06/121,377.38
  6. Step 6: Final answer
    x = 597,417.19

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.