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Finding the Third Proportional to 216,291 and 289,321

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Solution

The third proportional to 216,291 and 289,321 is: 387,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,291 : 289,321 = 289,321 : x
  2. Step 2: Convert to fraction form
    216,291/289,321 = 289,321/x
  3. Step 3: Cross multiply
    216,291x = 289,321 × 289,321
  4. Step 4: Simplify right side
    216,291x = 83,706,641,041
  5. Step 5: Solve for x
    x = 83,706,641,041/216,291
  6. Step 6: Final answer
    x = 387,009.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.