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Finding the Third Proportional to 131,995 and 216,690

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Solution

The third proportional to 131,995 and 216,690 is: 355,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,995 : 216,690 = 216,690 : x
  2. Step 2: Convert to fraction form
    131,995/216,690 = 216,690/x
  3. Step 3: Cross multiply
    131,995x = 216,690 × 216,690
  4. Step 4: Simplify right side
    131,995x = 46,954,556,100
  5. Step 5: Solve for x
    x = 46,954,556,100/131,995
  6. Step 6: Final answer
    x = 355,729.81

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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.