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Finding the Third Proportional to 92,642 and 199,972

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Solution

The third proportional to 92,642 and 199,972 is: 431,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,642 : 199,972 = 199,972 : x
  2. Step 2: Convert to fraction form
    92,642/199,972 = 199,972/x
  3. Step 3: Cross multiply
    92,642x = 199,972 × 199,972
  4. Step 4: Simplify right side
    92,642x = 39,988,800,784
  5. Step 5: Solve for x
    x = 39,988,800,784/92,642
  6. Step 6: Final answer
    x = 431,648.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.