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Finding the Third Proportional to 489,098.25 and 757,248.75

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Solution

The third proportional to 489,098.25 and 757,248.75 is: 1,172,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,098.25 : 757,248.75 = 757,248.75 : x
  2. Step 2: Convert to fraction form
    489,098.25/757,248.75 = 757,248.75/x
  3. Step 3: Cross multiply
    489,098.25x = 757,248.75 × 757,248.75
  4. Step 4: Simplify right side
    489,098.25x = 573,425,669,376.56
  5. Step 5: Solve for x
    x = 573,425,669,376.56/489,098.25
  6. Step 6: Final answer
    x = 1,172,414.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.