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Finding the Third Proportional to 197,678 and 425,376

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Solution

The third proportional to 197,678 and 425,376 is: 915,350.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,678 : 425,376 = 425,376 : x
  2. Step 2: Convert to fraction form
    197,678/425,376 = 425,376/x
  3. Step 3: Cross multiply
    197,678x = 425,376 × 425,376
  4. Step 4: Simplify right side
    197,678x = 180,944,741,376
  5. Step 5: Solve for x
    x = 180,944,741,376/197,678
  6. Step 6: Final answer
    x = 915,350.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.