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Finding the Third Proportional to 814.13 and 1,297.88

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Solution

The third proportional to 814.13 and 1,297.88 is: 2,069.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.13 : 1,297.88 = 1,297.88 : x
  2. Step 2: Convert to fraction form
    814.13/1,297.88 = 1,297.88/x
  3. Step 3: Cross multiply
    814.13x = 1,297.88 × 1,297.88
  4. Step 4: Simplify right side
    814.13x = 1,684,479.52
  5. Step 5: Solve for x
    x = 1,684,479.52/814.13
  6. Step 6: Final answer
    x = 2,069.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.