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Finding the Third Proportional to 644,221.50 and 1,373,756.25

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Solution

The third proportional to 644,221.50 and 1,373,756.25 is: 2,929,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,221.50 : 1,373,756.25 = 1,373,756.25 : x
  2. Step 2: Convert to fraction form
    644,221.50/1,373,756.25 = 1,373,756.25/x
  3. Step 3: Cross multiply
    644,221.50x = 1,373,756.25 × 1,373,756.25
  4. Step 4: Simplify right side
    644,221.50x = 1,887,206,234,414.06
  5. Step 5: Solve for x
    x = 1,887,206,234,414.06/644,221.50
  6. Step 6: Final answer
    x = 2,929,436.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.