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Finding the Third Proportional to 489,712.50 and 756,675

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Solution

The third proportional to 489,712.50 and 756,675 is: 1,169,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,712.50 : 756,675 = 756,675 : x
  2. Step 2: Convert to fraction form
    489,712.50/756,675 = 756,675/x
  3. Step 3: Cross multiply
    489,712.50x = 756,675 × 756,675
  4. Step 4: Simplify right side
    489,712.50x = 572,557,055,625
  5. Step 5: Solve for x
    x = 572,557,055,625/489,712.50
  6. Step 6: Final answer
    x = 1,169,169.78

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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.