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Finding the Third Proportional to 87,128 and 190,858

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Solution

The third proportional to 87,128 and 190,858 is: 418,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,128 : 190,858 = 190,858 : x
  2. Step 2: Convert to fraction form
    87,128/190,858 = 190,858/x
  3. Step 3: Cross multiply
    87,128x = 190,858 × 190,858
  4. Step 4: Simplify right side
    87,128x = 36,426,776,164
  5. Step 5: Solve for x
    x = 36,426,776,164/87,128
  6. Step 6: Final answer
    x = 418,083.47

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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.