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Finding the Third Proportional to 84,902 and 186,128

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Solution

The third proportional to 84,902 and 186,128 is: 408,042.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,902 : 186,128 = 186,128 : x
  2. Step 2: Convert to fraction form
    84,902/186,128 = 186,128/x
  3. Step 3: Cross multiply
    84,902x = 186,128 × 186,128
  4. Step 4: Simplify right side
    84,902x = 34,643,632,384
  5. Step 5: Solve for x
    x = 34,643,632,384/84,902
  6. Step 6: Final answer
    x = 408,042.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.