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Finding the Third Proportional to 197,439 and 288,753.75

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Solution

The third proportional to 197,439 and 288,753.75 is: 422,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,439 : 288,753.75 = 288,753.75 : x
  2. Step 2: Convert to fraction form
    197,439/288,753.75 = 288,753.75/x
  3. Step 3: Cross multiply
    197,439x = 288,753.75 × 288,753.75
  4. Step 4: Simplify right side
    197,439x = 83,378,728,139.06
  5. Step 5: Solve for x
    x = 83,378,728,139.06/197,439
  6. Step 6: Final answer
    x = 422,301.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.