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Finding the Third Proportional to 131,992 and 216,685

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Solution

The third proportional to 131,992 and 216,685 is: 355,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,992 : 216,685 = 216,685 : x
  2. Step 2: Convert to fraction form
    131,992/216,685 = 216,685/x
  3. Step 3: Cross multiply
    131,992x = 216,685 × 216,685
  4. Step 4: Simplify right side
    131,992x = 46,952,389,225
  5. Step 5: Solve for x
    x = 46,952,389,225/131,992
  6. Step 6: Final answer
    x = 355,721.48

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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.