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Finding the Third Proportional to 61,520 and 80,781

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Solution

The third proportional to 61,520 and 80,781 is: 106,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,520 : 80,781 = 80,781 : x
  2. Step 2: Convert to fraction form
    61,520/80,781 = 80,781/x
  3. Step 3: Cross multiply
    61,520x = 80,781 × 80,781
  4. Step 4: Simplify right side
    61,520x = 6,525,569,961
  5. Step 5: Solve for x
    x = 6,525,569,961/61,520
  6. Step 6: Final answer
    x = 106,072.33

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.