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Finding the Third Proportional to 100,431 and 216,414

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Solution

The third proportional to 100,431 and 216,414 is: 466,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,431 : 216,414 = 216,414 : x
  2. Step 2: Convert to fraction form
    100,431/216,414 = 216,414/x
  3. Step 3: Cross multiply
    100,431x = 216,414 × 216,414
  4. Step 4: Simplify right side
    100,431x = 46,835,019,396
  5. Step 5: Solve for x
    x = 46,835,019,396/100,431
  6. Step 6: Final answer
    x = 466,340.27

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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.