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Finding the Third Proportional to 121,376.25 and 269,280

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Solution

The third proportional to 121,376.25 and 269,280 is: 597,412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,376.25 : 269,280 = 269,280 : x
  2. Step 2: Convert to fraction form
    121,376.25/269,280 = 269,280/x
  3. Step 3: Cross multiply
    121,376.25x = 269,280 × 269,280
  4. Step 4: Simplify right side
    121,376.25x = 72,511,718,400
  5. Step 5: Solve for x
    x = 72,511,718,400/121,376.25
  6. Step 6: Final answer
    x = 597,412.74

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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.