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Finding the Third Proportional to 216,304 and 289,336

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Solution

The third proportional to 216,304 and 289,336 is: 387,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,304 : 289,336 = 289,336 : x
  2. Step 2: Convert to fraction form
    216,304/289,336 = 289,336/x
  3. Step 3: Cross multiply
    216,304x = 289,336 × 289,336
  4. Step 4: Simplify right side
    216,304x = 83,715,320,896
  5. Step 5: Solve for x
    x = 83,715,320,896/216,304
  6. Step 6: Final answer
    x = 387,026.23

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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.