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Finding the Third Proportional to 559.91 and 869.88

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Solution

The third proportional to 559.91 and 869.88 is: 1,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.91 : 869.88 = 869.88 : x
  2. Step 2: Convert to fraction form
    559.91/869.88 = 869.88/x
  3. Step 3: Cross multiply
    559.91x = 869.88 × 869.88
  4. Step 4: Simplify right side
    559.91x = 756,682.52
  5. Step 5: Solve for x
    x = 756,682.52/559.91
  6. Step 6: Final answer
    x = 1,351.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.