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Finding the Third Proportional to 125.16 and 292.31

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Solution

The third proportional to 125.16 and 292.31 is: 682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.16 : 292.31 = 292.31 : x
  2. Step 2: Convert to fraction form
    125.16/292.31 = 292.31/x
  3. Step 3: Cross multiply
    125.16x = 292.31 × 292.31
  4. Step 4: Simplify right side
    125.16x = 85,446.60
  5. Step 5: Solve for x
    x = 85,446.60/125.16
  6. Step 6: Final answer
    x = 682.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.