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Finding the Third Proportional to 264.75 and 478.78

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Solution

The third proportional to 264.75 and 478.78 is: 865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.75 : 478.78 = 478.78 : x
  2. Step 2: Convert to fraction form
    264.75/478.78 = 478.78/x
  3. Step 3: Cross multiply
    264.75x = 478.78 × 478.78
  4. Step 4: Simplify right side
    264.75x = 229,231.49
  5. Step 5: Solve for x
    x = 229,231.49/264.75
  6. Step 6: Final answer
    x = 865.84

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.