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Finding the Third Proportional to 775 and 842.50

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Solution

The third proportional to 775 and 842.50 is: 915.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    775 : 842.50 = 842.50 : x
  2. Step 2: Convert to fraction form
    775/842.50 = 842.50/x
  3. Step 3: Cross multiply
    775x = 842.50 × 842.50
  4. Step 4: Simplify right side
    775x = 709,806.25
  5. Step 5: Solve for x
    x = 709,806.25/775
  6. Step 6: Final answer
    x = 915.88

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.