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Finding the Third Proportional to 275,337 and 423,517.50

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Solution

The third proportional to 275,337 and 423,517.50 is: 651,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,337 : 423,517.50 = 423,517.50 : x
  2. Step 2: Convert to fraction form
    275,337/423,517.50 = 423,517.50/x
  3. Step 3: Cross multiply
    275,337x = 423,517.50 × 423,517.50
  4. Step 4: Simplify right side
    275,337x = 179,367,072,806.25
  5. Step 5: Solve for x
    x = 179,367,072,806.25/275,337
  6. Step 6: Final answer
    x = 651,445.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.