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Finding the Third Proportional to 100,420 and 216,404

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Solution

The third proportional to 100,420 and 216,404 is: 466,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,420 : 216,404 = 216,404 : x
  2. Step 2: Convert to fraction form
    100,420/216,404 = 216,404/x
  3. Step 3: Cross multiply
    100,420x = 216,404 × 216,404
  4. Step 4: Simplify right side
    100,420x = 46,830,691,216
  5. Step 5: Solve for x
    x = 46,830,691,216/100,420
  6. Step 6: Final answer
    x = 466,348.25

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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.