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Finding the Third Proportional to 562.69 and 861.84

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Solution

The third proportional to 562.69 and 861.84 is: 1,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.69 : 861.84 = 861.84 : x
  2. Step 2: Convert to fraction form
    562.69/861.84 = 861.84/x
  3. Step 3: Cross multiply
    562.69x = 861.84 × 861.84
  4. Step 4: Simplify right side
    562.69x = 742,774.65
  5. Step 5: Solve for x
    x = 742,774.65/562.69
  6. Step 6: Final answer
    x = 1,320.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.