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Finding the Third Proportional to 81,222 and 127,443

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Solution

The third proportional to 81,222 and 127,443 is: 199,966.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,222 : 127,443 = 127,443 : x
  2. Step 2: Convert to fraction form
    81,222/127,443 = 127,443/x
  3. Step 3: Cross multiply
    81,222x = 127,443 × 127,443
  4. Step 4: Simplify right side
    81,222x = 16,241,718,249
  5. Step 5: Solve for x
    x = 16,241,718,249/81,222
  6. Step 6: Final answer
    x = 199,966.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.