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Finding the Third Proportional to 489,744 and 717,849

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Solution

The third proportional to 489,744 and 717,849 is: 1,052,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,744 : 717,849 = 717,849 : x
  2. Step 2: Convert to fraction form
    489,744/717,849 = 717,849/x
  3. Step 3: Cross multiply
    489,744x = 717,849 × 717,849
  4. Step 4: Simplify right side
    489,744x = 515,307,186,801
  5. Step 5: Solve for x
    x = 515,307,186,801/489,744
  6. Step 6: Final answer
    x = 1,052,197.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.