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Finding the Third Proportional to 263.80 and 514.08

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Solution

The third proportional to 263.80 and 514.08 is: 1,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.80 : 514.08 = 514.08 : x
  2. Step 2: Convert to fraction form
    263.80/514.08 = 514.08/x
  3. Step 3: Cross multiply
    263.80x = 514.08 × 514.08
  4. Step 4: Simplify right side
    263.80x = 264,279.33
  5. Step 5: Solve for x
    x = 264,279.33/263.80
  6. Step 6: Final answer
    x = 1,001.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.