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Finding the Third Proportional to 325,690.50 and 717,639

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Solution

The third proportional to 325,690.50 and 717,639 is: 1,581,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,690.50 : 717,639 = 717,639 : x
  2. Step 2: Convert to fraction form
    325,690.50/717,639 = 717,639/x
  3. Step 3: Cross multiply
    325,690.50x = 717,639 × 717,639
  4. Step 4: Simplify right side
    325,690.50x = 515,005,734,321
  5. Step 5: Solve for x
    x = 515,005,734,321/325,690.50
  6. Step 6: Final answer
    x = 1,581,273.43

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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.