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Finding the Third Proportional to 580.78 and 882.42

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Solution

The third proportional to 580.78 and 882.42 is: 1,340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.78 : 882.42 = 882.42 : x
  2. Step 2: Convert to fraction form
    580.78/882.42 = 882.42/x
  3. Step 3: Cross multiply
    580.78x = 882.42 × 882.42
  4. Step 4: Simplify right side
    580.78x = 778,668.37
  5. Step 5: Solve for x
    x = 778,668.37/580.78
  6. Step 6: Final answer
    x = 1,340.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.