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Finding the Third Proportional to 775.13 and 1,205.72

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Solution

The third proportional to 775.13 and 1,205.72 is: 1,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.13 : 1,205.72 = 1,205.72 : x
  2. Step 2: Convert to fraction form
    775.13/1,205.72 = 1,205.72/x
  3. Step 3: Cross multiply
    775.13x = 1,205.72 × 1,205.72
  4. Step 4: Simplify right side
    775.13x = 1,453,757.70
  5. Step 5: Solve for x
    x = 1,453,757.70/775.13
  6. Step 6: Final answer
    x = 1,875.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.