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Finding the Third Proportional to 100,428 and 198,336

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Solution

The third proportional to 100,428 and 198,336 is: 391,695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,428 : 198,336 = 198,336 : x
  2. Step 2: Convert to fraction form
    100,428/198,336 = 198,336/x
  3. Step 3: Cross multiply
    100,428x = 198,336 × 198,336
  4. Step 4: Simplify right side
    100,428x = 39,337,168,896
  5. Step 5: Solve for x
    x = 39,337,168,896/100,428
  6. Step 6: Final answer
    x = 391,695.23

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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.