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Finding the Third Proportional to 100,426 and 198,332

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Solution

The third proportional to 100,426 and 198,332 is: 391,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,426 : 198,332 = 198,332 : x
  2. Step 2: Convert to fraction form
    100,426/198,332 = 198,332/x
  3. Step 3: Cross multiply
    100,426x = 198,332 × 198,332
  4. Step 4: Simplify right side
    100,426x = 39,335,582,224
  5. Step 5: Solve for x
    x = 39,335,582,224/100,426
  6. Step 6: Final answer
    x = 391,687.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.