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Finding the Third Proportional to 207,472.50 and 320,418

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Solution

The third proportional to 207,472.50 and 320,418 is: 494,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,472.50 : 320,418 = 320,418 : x
  2. Step 2: Convert to fraction form
    207,472.50/320,418 = 320,418/x
  3. Step 3: Cross multiply
    207,472.50x = 320,418 × 320,418
  4. Step 4: Simplify right side
    207,472.50x = 102,667,694,724
  5. Step 5: Solve for x
    x = 102,667,694,724/207,472.50
  6. Step 6: Final answer
    x = 494,849.65

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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.