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Finding the Third Proportional to 198,305 and 297,896

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Solution

The third proportional to 198,305 and 297,896 is: 447,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,305 : 297,896 = 297,896 : x
  2. Step 2: Convert to fraction form
    198,305/297,896 = 297,896/x
  3. Step 3: Cross multiply
    198,305x = 297,896 × 297,896
  4. Step 4: Simplify right side
    198,305x = 88,742,026,816
  5. Step 5: Solve for x
    x = 88,742,026,816/198,305
  6. Step 6: Final answer
    x = 447,502.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.