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Finding the Third Proportional to 198,972 and 432,936

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Solution

The third proportional to 198,972 and 432,936 is: 942,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,972 : 432,936 = 432,936 : x
  2. Step 2: Convert to fraction form
    198,972/432,936 = 432,936/x
  3. Step 3: Cross multiply
    198,972x = 432,936 × 432,936
  4. Step 4: Simplify right side
    198,972x = 187,433,580,096
  5. Step 5: Solve for x
    x = 187,433,580,096/198,972
  6. Step 6: Final answer
    x = 942,009.83

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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.