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Finding the Third Proportional to 292.78 and 439.59

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Solution

The third proportional to 292.78 and 439.59 is: 660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.78 : 439.59 = 439.59 : x
  2. Step 2: Convert to fraction form
    292.78/439.59 = 439.59/x
  3. Step 3: Cross multiply
    292.78x = 439.59 × 439.59
  4. Step 4: Simplify right side
    292.78x = 193,242.67
  5. Step 5: Solve for x
    x = 193,242.67/292.78
  6. Step 6: Final answer
    x = 660.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.