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Finding the Third Proportional to 61,619 and 88,051

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Solution

The third proportional to 61,619 and 88,051 is: 125,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,619 : 88,051 = 88,051 : x
  2. Step 2: Convert to fraction form
    61,619/88,051 = 88,051/x
  3. Step 3: Cross multiply
    61,619x = 88,051 × 88,051
  4. Step 4: Simplify right side
    61,619x = 7,752,978,601
  5. Step 5: Solve for x
    x = 7,752,978,601/61,619
  6. Step 6: Final answer
    x = 125,821.23

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.