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Finding the Third Proportional to 159,212 and 216,339

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Solution

The third proportional to 159,212 and 216,339 is: 293,963.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,212 : 216,339 = 216,339 : x
  2. Step 2: Convert to fraction form
    159,212/216,339 = 216,339/x
  3. Step 3: Cross multiply
    159,212x = 216,339 × 216,339
  4. Step 4: Simplify right side
    159,212x = 46,802,562,921
  5. Step 5: Solve for x
    x = 46,802,562,921/159,212
  6. Step 6: Final answer
    x = 293,963.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.