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Finding the Third Proportional to 125.35 and 292.89

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Solution

The third proportional to 125.35 and 292.89 is: 684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.35 : 292.89 = 292.89 : x
  2. Step 2: Convert to fraction form
    125.35/292.89 = 292.89/x
  3. Step 3: Cross multiply
    125.35x = 292.89 × 292.89
  4. Step 4: Simplify right side
    125.35x = 85,782.63
  5. Step 5: Solve for x
    x = 85,782.63/125.35
  6. Step 6: Final answer
    x = 684.35

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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.