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Finding the Third Proportional to 257.63 and 527.06

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Solution

The third proportional to 257.63 and 527.06 is: 1,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.63 : 527.06 = 527.06 : x
  2. Step 2: Convert to fraction form
    257.63/527.06 = 527.06/x
  3. Step 3: Cross multiply
    257.63x = 527.06 × 527.06
  4. Step 4: Simplify right side
    257.63x = 277,794.88
  5. Step 5: Solve for x
    x = 277,794.88/257.63
  6. Step 6: Final answer
    x = 1,078.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.