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Finding the Third Proportional to 131,997 and 216,693

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Solution

The third proportional to 131,997 and 216,693 is: 355,734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,997 : 216,693 = 216,693 : x
  2. Step 2: Convert to fraction form
    131,997/216,693 = 216,693/x
  3. Step 3: Cross multiply
    131,997x = 216,693 × 216,693
  4. Step 4: Simplify right side
    131,997x = 46,955,856,249
  5. Step 5: Solve for x
    x = 46,955,856,249/131,997
  6. Step 6: Final answer
    x = 355,734.27

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.