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Finding the Third Proportional to 198,144 and 423,168

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Solution

The third proportional to 198,144 and 423,168 is: 903,742.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,144 : 423,168 = 423,168 : x
  2. Step 2: Convert to fraction form
    198,144/423,168 = 423,168/x
  3. Step 3: Cross multiply
    198,144x = 423,168 × 423,168
  4. Step 4: Simplify right side
    198,144x = 179,071,156,224
  5. Step 5: Solve for x
    x = 179,071,156,224/198,144
  6. Step 6: Final answer
    x = 903,742.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.