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Finding the Third Proportional to 100,908 and 216,304

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Solution

The third proportional to 100,908 and 216,304 is: 463,664.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,908 : 216,304 = 216,304 : x
  2. Step 2: Convert to fraction form
    100,908/216,304 = 216,304/x
  3. Step 3: Cross multiply
    100,908x = 216,304 × 216,304
  4. Step 4: Simplify right side
    100,908x = 46,787,420,416
  5. Step 5: Solve for x
    x = 46,787,420,416/100,908
  6. Step 6: Final answer
    x = 463,664.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.