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Finding the Third Proportional to 262.50 and 536.88

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Solution

The third proportional to 262.50 and 536.88 is: 1,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.50 : 536.88 = 536.88 : x
  2. Step 2: Convert to fraction form
    262.50/536.88 = 536.88/x
  3. Step 3: Cross multiply
    262.50x = 536.88 × 536.88
  4. Step 4: Simplify right side
    262.50x = 288,234.77
  5. Step 5: Solve for x
    x = 288,234.77/262.50
  6. Step 6: Final answer
    x = 1,098.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.