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Finding the Third Proportional to 198,372 and 431,724

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Solution

The third proportional to 198,372 and 431,724 is: 939,576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,372 : 431,724 = 431,724 : x
  2. Step 2: Convert to fraction form
    198,372/431,724 = 431,724/x
  3. Step 3: Cross multiply
    198,372x = 431,724 × 431,724
  4. Step 4: Simplify right side
    198,372x = 186,385,612,176
  5. Step 5: Solve for x
    x = 186,385,612,176/198,372
  6. Step 6: Final answer
    x = 939,576.21

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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.