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Finding the Third Proportional to 474.25 and 726.25

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Solution

The third proportional to 474.25 and 726.25 is: 1,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.25 : 726.25 = 726.25 : x
  2. Step 2: Convert to fraction form
    474.25/726.25 = 726.25/x
  3. Step 3: Cross multiply
    474.25x = 726.25 × 726.25
  4. Step 4: Simplify right side
    474.25x = 527,439.06
  5. Step 5: Solve for x
    x = 527,439.06/474.25
  6. Step 6: Final answer
    x = 1,112.15

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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.