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Finding the Third Proportional to 84,617 and 183,811

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Solution

The third proportional to 84,617 and 183,811 is: 399,287.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,617 : 183,811 = 183,811 : x
  2. Step 2: Convert to fraction form
    84,617/183,811 = 183,811/x
  3. Step 3: Cross multiply
    84,617x = 183,811 × 183,811
  4. Step 4: Simplify right side
    84,617x = 33,786,483,721
  5. Step 5: Solve for x
    x = 33,786,483,721/84,617
  6. Step 6: Final answer
    x = 399,287.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.