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Finding the Third Proportional to 197,432 and 288,745

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Solution

The third proportional to 197,432 and 288,745 is: 422,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,432 : 288,745 = 288,745 : x
  2. Step 2: Convert to fraction form
    197,432/288,745 = 288,745/x
  3. Step 3: Cross multiply
    197,432x = 288,745 × 288,745
  4. Step 4: Simplify right side
    197,432x = 83,373,675,025
  5. Step 5: Solve for x
    x = 83,373,675,025/197,432
  6. Step 6: Final answer
    x = 422,290.59

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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.