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Finding the Third Proportional to 292.78 and 406.90

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Solution

The third proportional to 292.78 and 406.90 is: 565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.78 : 406.90 = 406.90 : x
  2. Step 2: Convert to fraction form
    292.78/406.90 = 406.90/x
  3. Step 3: Cross multiply
    292.78x = 406.90 × 406.90
  4. Step 4: Simplify right side
    292.78x = 165,566.34
  5. Step 5: Solve for x
    x = 165,566.34/292.78
  6. Step 6: Final answer
    x = 565.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.