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Finding the Third Proportional to 198,561 and 432,822

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Solution

The third proportional to 198,561 and 432,822 is: 943,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,561 : 432,822 = 432,822 : x
  2. Step 2: Convert to fraction form
    198,561/432,822 = 432,822/x
  3. Step 3: Cross multiply
    198,561x = 432,822 × 432,822
  4. Step 4: Simplify right side
    198,561x = 187,334,883,684
  5. Step 5: Solve for x
    x = 187,334,883,684/198,561
  6. Step 6: Final answer
    x = 943,462.63

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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.