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Finding the Third Proportional to 61,768.50 and 83,904

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Solution

The third proportional to 61,768.50 and 83,904 is: 113,972.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,768.50 : 83,904 = 83,904 : x
  2. Step 2: Convert to fraction form
    61,768.50/83,904 = 83,904/x
  3. Step 3: Cross multiply
    61,768.50x = 83,904 × 83,904
  4. Step 4: Simplify right side
    61,768.50x = 7,039,881,216
  5. Step 5: Solve for x
    x = 7,039,881,216/61,768.50
  6. Step 6: Final answer
    x = 113,972.03

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.