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Finding the Third Proportional to 125.72 and 291.30

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Solution

The third proportional to 125.72 and 291.30 is: 674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.72 : 291.30 = 291.30 : x
  2. Step 2: Convert to fraction form
    125.72/291.30 = 291.30/x
  3. Step 3: Cross multiply
    125.72x = 291.30 × 291.30
  4. Step 4: Simplify right side
    125.72x = 84,858.42
  5. Step 5: Solve for x
    x = 84,858.42/125.72
  6. Step 6: Final answer
    x = 674.99

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.