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Finding the Third Proportional to 52,768.50 and 112,918

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Solution

The third proportional to 52,768.50 and 112,918 is: 241,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,768.50 : 112,918 = 112,918 : x
  2. Step 2: Convert to fraction form
    52,768.50/112,918 = 112,918/x
  3. Step 3: Cross multiply
    52,768.50x = 112,918 × 112,918
  4. Step 4: Simplify right side
    52,768.50x = 12,750,474,724
  5. Step 5: Solve for x
    x = 12,750,474,724/52,768.50
  6. Step 6: Final answer
    x = 241,630.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.