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Finding the Third Proportional to 257.51 and 563.79

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Solution

The third proportional to 257.51 and 563.79 is: 1,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.51 : 563.79 = 563.79 : x
  2. Step 2: Convert to fraction form
    257.51/563.79 = 563.79/x
  3. Step 3: Cross multiply
    257.51x = 563.79 × 563.79
  4. Step 4: Simplify right side
    257.51x = 317,858.11
  5. Step 5: Solve for x
    x = 317,858.11/257.51
  6. Step 6: Final answer
    x = 1,234.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.