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Finding the Third Proportional to 257.48 and 377.37

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Solution

The third proportional to 257.48 and 377.37 is: 553.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.48 : 377.37 = 377.37 : x
  2. Step 2: Convert to fraction form
    257.48/377.37 = 377.37/x
  3. Step 3: Cross multiply
    257.48x = 377.37 × 377.37
  4. Step 4: Simplify right side
    257.48x = 142,405.99
  5. Step 5: Solve for x
    x = 142,405.99/257.48
  6. Step 6: Final answer
    x = 553.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.