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Finding the Third Proportional to 198,342 and 411,912

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Solution

The third proportional to 198,342 and 411,912 is: 855,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,342 : 411,912 = 411,912 : x
  2. Step 2: Convert to fraction form
    198,342/411,912 = 411,912/x
  3. Step 3: Cross multiply
    198,342x = 411,912 × 411,912
  4. Step 4: Simplify right side
    198,342x = 169,671,495,744
  5. Step 5: Solve for x
    x = 169,671,495,744/198,342
  6. Step 6: Final answer
    x = 855,449.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.