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Finding the Third Proportional to 220,275 and 318,012.75

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Solution

The third proportional to 220,275 and 318,012.75 is: 459,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,275 : 318,012.75 = 318,012.75 : x
  2. Step 2: Convert to fraction form
    220,275/318,012.75 = 318,012.75/x
  3. Step 3: Cross multiply
    220,275x = 318,012.75 × 318,012.75
  4. Step 4: Simplify right side
    220,275x = 101,132,109,162.56
  5. Step 5: Solve for x
    x = 101,132,109,162.56/220,275
  6. Step 6: Final answer
    x = 459,117.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.