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Finding the Third Proportional to 775.31 and 805.69

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Solution

The third proportional to 775.31 and 805.69 is: 837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.31 : 805.69 = 805.69 : x
  2. Step 2: Convert to fraction form
    775.31/805.69 = 805.69/x
  3. Step 3: Cross multiply
    775.31x = 805.69 × 805.69
  4. Step 4: Simplify right side
    775.31x = 649,132.35
  5. Step 5: Solve for x
    x = 649,132.35/775.31
  6. Step 6: Final answer
    x = 837.25

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.