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Finding the Third Proportional to 805.57 and 1,199.18

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Solution

The third proportional to 805.57 and 1,199.18 is: 1,785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.57 : 1,199.18 = 1,199.18 : x
  2. Step 2: Convert to fraction form
    805.57/1,199.18 = 1,199.18/x
  3. Step 3: Cross multiply
    805.57x = 1,199.18 × 1,199.18
  4. Step 4: Simplify right side
    805.57x = 1,438,031.92
  5. Step 5: Solve for x
    x = 1,438,031.92/805.57
  6. Step 6: Final answer
    x = 1,785.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.