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Finding the Third Proportional to 453,637.50 and 667,315.50

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Solution

The third proportional to 453,637.50 and 667,315.50 is: 981,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,637.50 : 667,315.50 = 667,315.50 : x
  2. Step 2: Convert to fraction form
    453,637.50/667,315.50 = 667,315.50/x
  3. Step 3: Cross multiply
    453,637.50x = 667,315.50 × 667,315.50
  4. Step 4: Simplify right side
    453,637.50x = 445,309,976,540.25
  5. Step 5: Solve for x
    x = 445,309,976,540.25/453,637.50
  6. Step 6: Final answer
    x = 981,642.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.