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Finding the Third Proportional to 207,216 and 321,192

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Solution

The third proportional to 207,216 and 321,192 is: 497,858.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,216 : 321,192 = 321,192 : x
  2. Step 2: Convert to fraction form
    207,216/321,192 = 321,192/x
  3. Step 3: Cross multiply
    207,216x = 321,192 × 321,192
  4. Step 4: Simplify right side
    207,216x = 103,164,300,864
  5. Step 5: Solve for x
    x = 103,164,300,864/207,216
  6. Step 6: Final answer
    x = 497,858.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.