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Finding the Third Proportional to 399.75 and 782.50

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Solution

The third proportional to 399.75 and 782.50 is: 1,531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.75 : 782.50 = 782.50 : x
  2. Step 2: Convert to fraction form
    399.75/782.50 = 782.50/x
  3. Step 3: Cross multiply
    399.75x = 782.50 × 782.50
  4. Step 4: Simplify right side
    399.75x = 612,306.25
  5. Step 5: Solve for x
    x = 612,306.25/399.75
  6. Step 6: Final answer
    x = 1,531.72

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.