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Finding the Third Proportional to 261.88 and 399.69

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Solution

The third proportional to 261.88 and 399.69 is: 610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.88 : 399.69 = 399.69 : x
  2. Step 2: Convert to fraction form
    261.88/399.69 = 399.69/x
  3. Step 3: Cross multiply
    261.88x = 399.69 × 399.69
  4. Step 4: Simplify right side
    261.88x = 159,750.10
  5. Step 5: Solve for x
    x = 159,750.10/261.88
  6. Step 6: Final answer
    x = 610.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.