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Finding the Third Proportional to 198,631.13 and 434,143.69

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Solution

The third proportional to 198,631.13 and 434,143.69 is: 948,898.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,631.13 : 434,143.69 = 434,143.69 : x
  2. Step 2: Convert to fraction form
    198,631.13/434,143.69 = 434,143.69/x
  3. Step 3: Cross multiply
    198,631.13x = 434,143.69 × 434,143.69
  4. Step 4: Simplify right side
    198,631.13x = 188,480,741,396.10
  5. Step 5: Solve for x
    x = 188,480,741,396.10/198,631.13
  6. Step 6: Final answer
    x = 948,898.32

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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.