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Finding the Third Proportional to 198,432 and 434,121

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Solution

The third proportional to 198,432 and 434,121 is: 949,751.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,432 : 434,121 = 434,121 : x
  2. Step 2: Convert to fraction form
    198,432/434,121 = 434,121/x
  3. Step 3: Cross multiply
    198,432x = 434,121 × 434,121
  4. Step 4: Simplify right side
    198,432x = 188,461,042,641
  5. Step 5: Solve for x
    x = 188,461,042,641/198,432
  6. Step 6: Final answer
    x = 949,751.26

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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.