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Finding the Third Proportional to 257.48 and 392.77

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Solution

The third proportional to 257.48 and 392.77 is: 599.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.48 : 392.77 = 392.77 : x
  2. Step 2: Convert to fraction form
    257.48/392.77 = 392.77/x
  3. Step 3: Cross multiply
    257.48x = 392.77 × 392.77
  4. Step 4: Simplify right side
    257.48x = 154,264.84
  5. Step 5: Solve for x
    x = 154,264.84/257.48
  6. Step 6: Final answer
    x = 599.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.