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Finding the Third Proportional to 257.44 and 390.56

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Solution

The third proportional to 257.44 and 390.56 is: 592.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.44 : 390.56 = 390.56 : x
  2. Step 2: Convert to fraction form
    257.44/390.56 = 390.56/x
  3. Step 3: Cross multiply
    257.44x = 390.56 × 390.56
  4. Step 4: Simplify right side
    257.44x = 152,539.07
  5. Step 5: Solve for x
    x = 152,539.07/257.44
  6. Step 6: Final answer
    x = 592.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.