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Finding the Third Proportional to 101,981.50 and 216,119

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Solution

The third proportional to 101,981.50 and 216,119 is: 457,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,981.50 : 216,119 = 216,119 : x
  2. Step 2: Convert to fraction form
    101,981.50/216,119 = 216,119/x
  3. Step 3: Cross multiply
    101,981.50x = 216,119 × 216,119
  4. Step 4: Simplify right side
    101,981.50x = 46,707,422,161
  5. Step 5: Solve for x
    x = 46,707,422,161/101,981.50
  6. Step 6: Final answer
    x = 457,998.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.