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Finding the Third Proportional to 101,505 and 217,971

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Solution

The third proportional to 101,505 and 217,971 is: 468,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,505 : 217,971 = 217,971 : x
  2. Step 2: Convert to fraction form
    101,505/217,971 = 217,971/x
  3. Step 3: Cross multiply
    101,505x = 217,971 × 217,971
  4. Step 4: Simplify right side
    101,505x = 47,511,356,841
  5. Step 5: Solve for x
    x = 47,511,356,841/101,505
  6. Step 6: Final answer
    x = 468,069.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.