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Finding the Third Proportional to 215,142 and 321,255

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Solution

The third proportional to 215,142 and 321,255 is: 479,705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,142 : 321,255 = 321,255 : x
  2. Step 2: Convert to fraction form
    215,142/321,255 = 321,255/x
  3. Step 3: Cross multiply
    215,142x = 321,255 × 321,255
  4. Step 4: Simplify right side
    215,142x = 103,204,775,025
  5. Step 5: Solve for x
    x = 103,204,775,025/215,142
  6. Step 6: Final answer
    x = 479,705.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.