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Finding the Third Proportional to 81,729 and 124,971

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Solution

The third proportional to 81,729 and 124,971 is: 191,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,729 : 124,971 = 124,971 : x
  2. Step 2: Convert to fraction form
    81,729/124,971 = 124,971/x
  3. Step 3: Cross multiply
    81,729x = 124,971 × 124,971
  4. Step 4: Simplify right side
    81,729x = 15,617,750,841
  5. Step 5: Solve for x
    x = 15,617,750,841/81,729
  6. Step 6: Final answer
    x = 191,091.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.