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Finding the Third Proportional to 261.88 and 391.94

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Solution

The third proportional to 261.88 and 391.94 is: 586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.88 : 391.94 = 391.94 : x
  2. Step 2: Convert to fraction form
    261.88/391.94 = 391.94/x
  3. Step 3: Cross multiply
    261.88x = 391.94 × 391.94
  4. Step 4: Simplify right side
    261.88x = 153,615.00
  5. Step 5: Solve for x
    x = 153,615.00/261.88
  6. Step 6: Final answer
    x = 586.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.