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Finding the Third Proportional to 198,456 and 432,552

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Solution

The third proportional to 198,456 and 432,552 is: 942,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,456 : 432,552 = 432,552 : x
  2. Step 2: Convert to fraction form
    198,456/432,552 = 432,552/x
  3. Step 3: Cross multiply
    198,456x = 432,552 × 432,552
  4. Step 4: Simplify right side
    198,456x = 187,101,232,704
  5. Step 5: Solve for x
    x = 187,101,232,704/198,456
  6. Step 6: Final answer
    x = 942,784.46

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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.