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Finding the Third Proportional to 360,200.25 and 521,700.75

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Solution

The third proportional to 360,200.25 and 521,700.75 is: 755,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,200.25 : 521,700.75 = 521,700.75 : x
  2. Step 2: Convert to fraction form
    360,200.25/521,700.75 = 521,700.75/x
  3. Step 3: Cross multiply
    360,200.25x = 521,700.75 × 521,700.75
  4. Step 4: Simplify right side
    360,200.25x = 272,171,672,550.56
  5. Step 5: Solve for x
    x = 272,171,672,550.56/360,200.25
  6. Step 6: Final answer
    x = 755,612.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.