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Finding the Third Proportional to 763.50 and 1,764.75

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Solution

The third proportional to 763.50 and 1,764.75 is: 4,079.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.50 : 1,764.75 = 1,764.75 : x
  2. Step 2: Convert to fraction form
    763.50/1,764.75 = 1,764.75/x
  3. Step 3: Cross multiply
    763.50x = 1,764.75 × 1,764.75
  4. Step 4: Simplify right side
    763.50x = 3,114,342.56
  5. Step 5: Solve for x
    x = 3,114,342.56/763.50
  6. Step 6: Final answer
    x = 4,079.03

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.