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Finding the Third Proportional to 101,729 and 220,971

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Solution

The third proportional to 101,729 and 220,971 is: 479,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,729 : 220,971 = 220,971 : x
  2. Step 2: Convert to fraction form
    101,729/220,971 = 220,971/x
  3. Step 3: Cross multiply
    101,729x = 220,971 × 220,971
  4. Step 4: Simplify right side
    101,729x = 48,828,182,841
  5. Step 5: Solve for x
    x = 48,828,182,841/101,729
  6. Step 6: Final answer
    x = 479,982.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.