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Finding the Third Proportional to 84,146 and 177,940

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Solution

The third proportional to 84,146 and 177,940 is: 376,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,146 : 177,940 = 177,940 : x
  2. Step 2: Convert to fraction form
    84,146/177,940 = 177,940/x
  3. Step 3: Cross multiply
    84,146x = 177,940 × 177,940
  4. Step 4: Simplify right side
    84,146x = 31,662,643,600
  5. Step 5: Solve for x
    x = 31,662,643,600/84,146
  6. Step 6: Final answer
    x = 376,282.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.