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Finding the Third Proportional to 265.78 and 415.76

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Solution

The third proportional to 265.78 and 415.76 is: 650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.78 : 415.76 = 415.76 : x
  2. Step 2: Convert to fraction form
    265.78/415.76 = 415.76/x
  3. Step 3: Cross multiply
    265.78x = 415.76 × 415.76
  4. Step 4: Simplify right side
    265.78x = 172,854.56
  5. Step 5: Solve for x
    x = 172,854.56/265.78
  6. Step 6: Final answer
    x = 650.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.