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Finding the Third Proportional to 61,841 and 131,679

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Solution

The third proportional to 61,841 and 131,679 is: 280,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,841 : 131,679 = 131,679 : x
  2. Step 2: Convert to fraction form
    61,841/131,679 = 131,679/x
  3. Step 3: Cross multiply
    61,841x = 131,679 × 131,679
  4. Step 4: Simplify right side
    61,841x = 17,339,359,041
  5. Step 5: Solve for x
    x = 17,339,359,041/61,841
  6. Step 6: Final answer
    x = 280,386.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.