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Finding the Third Proportional to 198,252 and 432,228

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Solution

The third proportional to 198,252 and 432,228 is: 942,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,252 : 432,228 = 432,228 : x
  2. Step 2: Convert to fraction form
    198,252/432,228 = 432,228/x
  3. Step 3: Cross multiply
    198,252x = 432,228 × 432,228
  4. Step 4: Simplify right side
    198,252x = 186,821,043,984
  5. Step 5: Solve for x
    x = 186,821,043,984/198,252
  6. Step 6: Final answer
    x = 942,341.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.