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Finding the Third Proportional to 85,142 and 198,863

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Solution

The third proportional to 85,142 and 198,863 is: 464,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,142 : 198,863 = 198,863 : x
  2. Step 2: Convert to fraction form
    85,142/198,863 = 198,863/x
  3. Step 3: Cross multiply
    85,142x = 198,863 × 198,863
  4. Step 4: Simplify right side
    85,142x = 39,546,492,769
  5. Step 5: Solve for x
    x = 39,546,492,769/85,142
  6. Step 6: Final answer
    x = 464,476.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.