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Finding the Third Proportional to 100,422 and 216,408

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Solution

The third proportional to 100,422 and 216,408 is: 466,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,422 : 216,408 = 216,408 : x
  2. Step 2: Convert to fraction form
    100,422/216,408 = 216,408/x
  3. Step 3: Cross multiply
    100,422x = 216,408 × 216,408
  4. Step 4: Simplify right side
    100,422x = 46,832,422,464
  5. Step 5: Solve for x
    x = 46,832,422,464/100,422
  6. Step 6: Final answer
    x = 466,356.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.