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Finding the Third Proportional to 52,928 and 82,043.50

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Solution

The third proportional to 52,928 and 82,043.50 is: 127,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,928 : 82,043.50 = 82,043.50 : x
  2. Step 2: Convert to fraction form
    52,928/82,043.50 = 82,043.50/x
  3. Step 3: Cross multiply
    52,928x = 82,043.50 × 82,043.50
  4. Step 4: Simplify right side
    52,928x = 6,731,135,892.25
  5. Step 5: Solve for x
    x = 6,731,135,892.25/52,928
  6. Step 6: Final answer
    x = 127,175.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.