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Finding the Third Proportional to 587.19 and 820.94

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Solution

The third proportional to 587.19 and 820.94 is: 1,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.19 : 820.94 = 820.94 : x
  2. Step 2: Convert to fraction form
    587.19/820.94 = 820.94/x
  3. Step 3: Cross multiply
    587.19x = 820.94 × 820.94
  4. Step 4: Simplify right side
    587.19x = 673,938.38
  5. Step 5: Solve for x
    x = 673,938.38/587.19
  6. Step 6: Final answer
    x = 1,147.74

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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.