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Finding the Third Proportional to 257.19 and 385.81

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Solution

The third proportional to 257.19 and 385.81 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.19 : 385.81 = 385.81 : x
  2. Step 2: Convert to fraction form
    257.19/385.81 = 385.81/x
  3. Step 3: Cross multiply
    257.19x = 385.81 × 385.81
  4. Step 4: Simplify right side
    257.19x = 148,851.29
  5. Step 5: Solve for x
    x = 148,851.29/257.19
  6. Step 6: Final answer
    x = 578.77

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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.