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Finding the Third Proportional to 581.34 and 872.23

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Solution

The third proportional to 581.34 and 872.23 is: 1,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.34 : 872.23 = 872.23 : x
  2. Step 2: Convert to fraction form
    581.34/872.23 = 872.23/x
  3. Step 3: Cross multiply
    581.34x = 872.23 × 872.23
  4. Step 4: Simplify right side
    581.34x = 760,779.18
  5. Step 5: Solve for x
    x = 760,779.18/581.34
  6. Step 6: Final answer
    x = 1,308.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.