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Finding the Third Proportional to 215,555 and 326,314

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Solution

The third proportional to 215,555 and 326,314 is: 493,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,555 : 326,314 = 326,314 : x
  2. Step 2: Convert to fraction form
    215,555/326,314 = 326,314/x
  3. Step 3: Cross multiply
    215,555x = 326,314 × 326,314
  4. Step 4: Simplify right side
    215,555x = 106,480,826,596
  5. Step 5: Solve for x
    x = 106,480,826,596/215,555
  6. Step 6: Final answer
    x = 493,984.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.