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Finding the Third Proportional to 61,015.50 and 111,906

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Solution

The third proportional to 61,015.50 and 111,906 is: 205,242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,015.50 : 111,906 = 111,906 : x
  2. Step 2: Convert to fraction form
    61,015.50/111,906 = 111,906/x
  3. Step 3: Cross multiply
    61,015.50x = 111,906 × 111,906
  4. Step 4: Simplify right side
    61,015.50x = 12,522,952,836
  5. Step 5: Solve for x
    x = 12,522,952,836/61,015.50
  6. Step 6: Final answer
    x = 205,242.16

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.