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Finding the Third Proportional to 678,883.50 and 935,167.50

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Solution

The third proportional to 678,883.50 and 935,167.50 is: 1,288,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,883.50 : 935,167.50 = 935,167.50 : x
  2. Step 2: Convert to fraction form
    678,883.50/935,167.50 = 935,167.50/x
  3. Step 3: Cross multiply
    678,883.50x = 935,167.50 × 935,167.50
  4. Step 4: Simplify right side
    678,883.50x = 874,538,253,056.25
  5. Step 5: Solve for x
    x = 874,538,253,056.25/678,883.50
  6. Step 6: Final answer
    x = 1,288,200.78

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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.