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Finding the Third Proportional to 52,785 and 73,426.50

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Solution

The third proportional to 52,785 and 73,426.50 is: 102,139.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,785 : 73,426.50 = 73,426.50 : x
  2. Step 2: Convert to fraction form
    52,785/73,426.50 = 73,426.50/x
  3. Step 3: Cross multiply
    52,785x = 73,426.50 × 73,426.50
  4. Step 4: Simplify right side
    52,785x = 5,391,450,902.25
  5. Step 5: Solve for x
    x = 5,391,450,902.25/52,785
  6. Step 6: Final answer
    x = 102,139.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.