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Finding the Third Proportional to 257.81 and 573.13

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Solution

The third proportional to 257.81 and 573.13 is: 1,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.81 : 573.13 = 573.13 : x
  2. Step 2: Convert to fraction form
    257.81/573.13 = 573.13/x
  3. Step 3: Cross multiply
    257.81x = 573.13 × 573.13
  4. Step 4: Simplify right side
    257.81x = 328,472.27
  5. Step 5: Solve for x
    x = 328,472.27/257.81
  6. Step 6: Final answer
    x = 1,274.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.