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Finding the Third Proportional to 52,923 and 84,244.50

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Solution

The third proportional to 52,923 and 84,244.50 is: 134,103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,923 : 84,244.50 = 84,244.50 : x
  2. Step 2: Convert to fraction form
    52,923/84,244.50 = 84,244.50/x
  3. Step 3: Cross multiply
    52,923x = 84,244.50 × 84,244.50
  4. Step 4: Simplify right side
    52,923x = 7,097,135,780.25
  5. Step 5: Solve for x
    x = 7,097,135,780.25/52,923
  6. Step 6: Final answer
    x = 134,103.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.