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Finding the Third Proportional to 62,759 and 87,781

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Solution

The third proportional to 62,759 and 87,781 is: 122,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,759 : 87,781 = 87,781 : x
  2. Step 2: Convert to fraction form
    62,759/87,781 = 87,781/x
  3. Step 3: Cross multiply
    62,759x = 87,781 × 87,781
  4. Step 4: Simplify right side
    62,759x = 7,705,503,961
  5. Step 5: Solve for x
    x = 7,705,503,961/62,759
  6. Step 6: Final answer
    x = 122,779.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.