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Finding the Third Proportional to 81,305 and 127,712

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Solution

The third proportional to 81,305 and 127,712 is: 200,607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,305 : 127,712 = 127,712 : x
  2. Step 2: Convert to fraction form
    81,305/127,712 = 127,712/x
  3. Step 3: Cross multiply
    81,305x = 127,712 × 127,712
  4. Step 4: Simplify right side
    81,305x = 16,310,354,944
  5. Step 5: Solve for x
    x = 16,310,354,944/81,305
  6. Step 6: Final answer
    x = 200,607.03

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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.