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Finding the Third Proportional to 198,661.50 and 434,863

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Solution

The third proportional to 198,661.50 and 434,863 is: 951,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,661.50 : 434,863 = 434,863 : x
  2. Step 2: Convert to fraction form
    198,661.50/434,863 = 434,863/x
  3. Step 3: Cross multiply
    198,661.50x = 434,863 × 434,863
  4. Step 4: Simplify right side
    198,661.50x = 189,105,828,769
  5. Step 5: Solve for x
    x = 189,105,828,769/198,661.50
  6. Step 6: Final answer
    x = 951,899.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.