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Finding the Third Proportional to 717,624 and 1,691,640

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Solution

The third proportional to 717,624 and 1,691,640 is: 3,987,667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,624 : 1,691,640 = 1,691,640 : x
  2. Step 2: Convert to fraction form
    717,624/1,691,640 = 1,691,640/x
  3. Step 3: Cross multiply
    717,624x = 1,691,640 × 1,691,640
  4. Step 4: Simplify right side
    717,624x = 2,861,645,889,600
  5. Step 5: Solve for x
    x = 2,861,645,889,600/717,624
  6. Step 6: Final answer
    x = 3,987,667.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.