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Finding the Third Proportional to 398,209.50 and 859,761

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Solution

The third proportional to 398,209.50 and 859,761 is: 1,856,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,209.50 : 859,761 = 859,761 : x
  2. Step 2: Convert to fraction form
    398,209.50/859,761 = 859,761/x
  3. Step 3: Cross multiply
    398,209.50x = 859,761 × 859,761
  4. Step 4: Simplify right side
    398,209.50x = 739,188,977,121
  5. Step 5: Solve for x
    x = 739,188,977,121/398,209.50
  6. Step 6: Final answer
    x = 1,856,281.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.