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Finding the Third Proportional to 255.75 and 347.13

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Solution

The third proportional to 255.75 and 347.13 is: 471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.75 : 347.13 = 347.13 : x
  2. Step 2: Convert to fraction form
    255.75/347.13 = 347.13/x
  3. Step 3: Cross multiply
    255.75x = 347.13 × 347.13
  4. Step 4: Simplify right side
    255.75x = 120,495.77
  5. Step 5: Solve for x
    x = 120,495.77/255.75
  6. Step 6: Final answer
    x = 471.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.