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Finding the Third Proportional to 257.13 and 376.69

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Solution

The third proportional to 257.13 and 376.69 is: 551.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.13 : 376.69 = 376.69 : x
  2. Step 2: Convert to fraction form
    257.13/376.69 = 376.69/x
  3. Step 3: Cross multiply
    257.13x = 376.69 × 376.69
  4. Step 4: Simplify right side
    257.13x = 141,893.47
  5. Step 5: Solve for x
    x = 141,893.47/257.13
  6. Step 6: Final answer
    x = 551.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.