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Finding the Third Proportional to 100,338 and 216,348

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Solution

The third proportional to 100,338 and 216,348 is: 466,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,338 : 216,348 = 216,348 : x
  2. Step 2: Convert to fraction form
    100,338/216,348 = 216,348/x
  3. Step 3: Cross multiply
    100,338x = 216,348 × 216,348
  4. Step 4: Simplify right side
    100,338x = 46,806,457,104
  5. Step 5: Solve for x
    x = 46,806,457,104/100,338
  6. Step 6: Final answer
    x = 466,487.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.