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Finding the Third Proportional to 325,685 and 717,631

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Solution

The third proportional to 325,685 and 717,631 is: 1,581,264.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,685 : 717,631 = 717,631 : x
  2. Step 2: Convert to fraction form
    325,685/717,631 = 717,631/x
  3. Step 3: Cross multiply
    325,685x = 717,631 × 717,631
  4. Step 4: Simplify right side
    325,685x = 514,994,252,161
  5. Step 5: Solve for x
    x = 514,994,252,161/325,685
  6. Step 6: Final answer
    x = 1,581,264.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.