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Finding the Third Proportional to 198,397.50 and 440,937

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Solution

The third proportional to 198,397.50 and 440,937 is: 979,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,397.50 : 440,937 = 440,937 : x
  2. Step 2: Convert to fraction form
    198,397.50/440,937 = 440,937/x
  3. Step 3: Cross multiply
    198,397.50x = 440,937 × 440,937
  4. Step 4: Simplify right side
    198,397.50x = 194,425,437,969
  5. Step 5: Solve for x
    x = 194,425,437,969/198,397.50
  6. Step 6: Final answer
    x = 979,979.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.