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Finding the Third Proportional to 581.63 and 869.34

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Solution

The third proportional to 581.63 and 869.34 is: 1,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.63 : 869.34 = 869.34 : x
  2. Step 2: Convert to fraction form
    581.63/869.34 = 869.34/x
  3. Step 3: Cross multiply
    581.63x = 869.34 × 869.34
  4. Step 4: Simplify right side
    581.63x = 755,758.56
  5. Step 5: Solve for x
    x = 755,758.56/581.63
  6. Step 6: Final answer
    x = 1,299.39

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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.