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Finding the Third Proportional to 100,418 and 216,400

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Solution

The third proportional to 100,418 and 216,400 is: 466,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,418 : 216,400 = 216,400 : x
  2. Step 2: Convert to fraction form
    100,418/216,400 = 216,400/x
  3. Step 3: Cross multiply
    100,418x = 216,400 × 216,400
  4. Step 4: Simplify right side
    100,418x = 46,828,960,000
  5. Step 5: Solve for x
    x = 46,828,960,000/100,418
  6. Step 6: Final answer
    x = 466,340.30

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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.