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Finding the Third Proportional to 225.70 and 542.95

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Solution

The third proportional to 225.70 and 542.95 is: 1,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.70 : 542.95 = 542.95 : x
  2. Step 2: Convert to fraction form
    225.70/542.95 = 542.95/x
  3. Step 3: Cross multiply
    225.70x = 542.95 × 542.95
  4. Step 4: Simplify right side
    225.70x = 294,798.10
  5. Step 5: Solve for x
    x = 294,798.10/225.70
  6. Step 6: Final answer
    x = 1,306.13

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.