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Finding the Third Proportional to 262.90 and 542.88

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Solution

The third proportional to 262.90 and 542.88 is: 1,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.90 : 542.88 = 542.88 : x
  2. Step 2: Convert to fraction form
    262.90/542.88 = 542.88/x
  3. Step 3: Cross multiply
    262.90x = 542.88 × 542.88
  4. Step 4: Simplify right side
    262.90x = 294,721.75
  5. Step 5: Solve for x
    x = 294,721.75/262.90
  6. Step 6: Final answer
    x = 1,121.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.