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Finding the Third Proportional to 813.80 and 1,046.67

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Solution

The third proportional to 813.80 and 1,046.67 is: 1,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.80 : 1,046.67 = 1,046.67 : x
  2. Step 2: Convert to fraction form
    813.80/1,046.67 = 1,046.67/x
  3. Step 3: Cross multiply
    813.80x = 1,046.67 × 1,046.67
  4. Step 4: Simplify right side
    813.80x = 1,095,522.01
  5. Step 5: Solve for x
    x = 1,095,522.01/813.80
  6. Step 6: Final answer
    x = 1,346.19

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.