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Finding the Third Proportional to 581.77 and 813.80

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Solution

The third proportional to 581.77 and 813.80 is: 1,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.77 : 813.80 = 813.80 : x
  2. Step 2: Convert to fraction form
    581.77/813.80 = 813.80/x
  3. Step 3: Cross multiply
    581.77x = 813.80 × 813.80
  4. Step 4: Simplify right side
    581.77x = 662,265.35
  5. Step 5: Solve for x
    x = 662,265.35/581.77
  6. Step 6: Final answer
    x = 1,138.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.