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Finding the Third Proportional to 198,666 and 433,032

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Solution

The third proportional to 198,666 and 433,032 is: 943,879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,666 : 433,032 = 433,032 : x
  2. Step 2: Convert to fraction form
    198,666/433,032 = 433,032/x
  3. Step 3: Cross multiply
    198,666x = 433,032 × 433,032
  4. Step 4: Simplify right side
    198,666x = 187,516,713,024
  5. Step 5: Solve for x
    x = 187,516,713,024/198,666
  6. Step 6: Final answer
    x = 943,879.24

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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.