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Finding the Third Proportional to 81,224 and 127,446

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Solution

The third proportional to 81,224 and 127,446 is: 199,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,224 : 127,446 = 127,446 : x
  2. Step 2: Convert to fraction form
    81,224/127,446 = 127,446/x
  3. Step 3: Cross multiply
    81,224x = 127,446 × 127,446
  4. Step 4: Simplify right side
    81,224x = 16,242,482,916
  5. Step 5: Solve for x
    x = 16,242,482,916/81,224
  6. Step 6: Final answer
    x = 199,971.47

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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.