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Finding the Third Proportional to 61,631 and 87,307

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Solution

The third proportional to 61,631 and 87,307 is: 123,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,631 : 87,307 = 87,307 : x
  2. Step 2: Convert to fraction form
    61,631/87,307 = 87,307/x
  3. Step 3: Cross multiply
    61,631x = 87,307 × 87,307
  4. Step 4: Simplify right side
    61,631x = 7,622,512,249
  5. Step 5: Solve for x
    x = 7,622,512,249/61,631
  6. Step 6: Final answer
    x = 123,679.84

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.