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Finding the Third Proportional to 84,213 and 181,939.50

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Solution

The third proportional to 84,213 and 181,939.50 is: 393,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,213 : 181,939.50 = 181,939.50 : x
  2. Step 2: Convert to fraction form
    84,213/181,939.50 = 181,939.50/x
  3. Step 3: Cross multiply
    84,213x = 181,939.50 × 181,939.50
  4. Step 4: Simplify right side
    84,213x = 33,101,981,660.25
  5. Step 5: Solve for x
    x = 33,101,981,660.25/84,213
  6. Step 6: Final answer
    x = 393,074.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.