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Finding the Third Proportional to 678,872.25 and 935,151.75

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Solution

The third proportional to 678,872.25 and 935,151.75 is: 1,288,178.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,872.25 : 935,151.75 = 935,151.75 : x
  2. Step 2: Convert to fraction form
    678,872.25/935,151.75 = 935,151.75/x
  3. Step 3: Cross multiply
    678,872.25x = 935,151.75 × 935,151.75
  4. Step 4: Simplify right side
    678,872.25x = 874,508,795,528.06
  5. Step 5: Solve for x
    x = 874,508,795,528.06/678,872.25
  6. Step 6: Final answer
    x = 1,288,178.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.