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Finding the Third Proportional to 84,222 and 187,128

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Solution

The third proportional to 84,222 and 187,128 is: 415,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,222 : 187,128 = 187,128 : x
  2. Step 2: Convert to fraction form
    84,222/187,128 = 187,128/x
  3. Step 3: Cross multiply
    84,222x = 187,128 × 187,128
  4. Step 4: Simplify right side
    84,222x = 35,016,888,384
  5. Step 5: Solve for x
    x = 35,016,888,384/84,222
  6. Step 6: Final answer
    x = 415,768.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.