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Finding the Third Proportional to 140,805 and 216,135

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Solution

The third proportional to 140,805 and 216,135 is: 331,766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,805 : 216,135 = 216,135 : x
  2. Step 2: Convert to fraction form
    140,805/216,135 = 216,135/x
  3. Step 3: Cross multiply
    140,805x = 216,135 × 216,135
  4. Step 4: Simplify right side
    140,805x = 46,714,338,225
  5. Step 5: Solve for x
    x = 46,714,338,225/140,805
  6. Step 6: Final answer
    x = 331,766.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.