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Finding the Third Proportional to 197,109 and 425,107.50

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Solution

The third proportional to 197,109 and 425,107.50 is: 916,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,109 : 425,107.50 = 425,107.50 : x
  2. Step 2: Convert to fraction form
    197,109/425,107.50 = 425,107.50/x
  3. Step 3: Cross multiply
    197,109x = 425,107.50 × 425,107.50
  4. Step 4: Simplify right side
    197,109x = 180,716,386,556.25
  5. Step 5: Solve for x
    x = 180,716,386,556.25/197,109
  6. Step 6: Final answer
    x = 916,834.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.