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Finding the Third Proportional to 198,660 and 433,020

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Solution

The third proportional to 198,660 and 433,020 is: 943,855.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,660 : 433,020 = 433,020 : x
  2. Step 2: Convert to fraction form
    198,660/433,020 = 433,020/x
  3. Step 3: Cross multiply
    198,660x = 433,020 × 433,020
  4. Step 4: Simplify right side
    198,660x = 187,506,320,400
  5. Step 5: Solve for x
    x = 187,506,320,400/198,660
  6. Step 6: Final answer
    x = 943,855.43

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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.