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Finding the Third Proportional to 198,976 and 432,960

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Solution

The third proportional to 198,976 and 432,960 is: 942,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,976 : 432,960 = 432,960 : x
  2. Step 2: Convert to fraction form
    198,976/432,960 = 432,960/x
  3. Step 3: Cross multiply
    198,976x = 432,960 × 432,960
  4. Step 4: Simplify right side
    198,976x = 187,454,361,600
  5. Step 5: Solve for x
    x = 187,454,361,600/198,976
  6. Step 6: Final answer
    x = 942,095.34

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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.