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Finding the Third Proportional to 397,702 and 863,156

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Solution

The third proportional to 397,702 and 863,156 is: 1,873,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,702 : 863,156 = 863,156 : x
  2. Step 2: Convert to fraction form
    397,702/863,156 = 863,156/x
  3. Step 3: Cross multiply
    397,702x = 863,156 × 863,156
  4. Step 4: Simplify right side
    397,702x = 745,038,280,336
  5. Step 5: Solve for x
    x = 745,038,280,336/397,702
  6. Step 6: Final answer
    x = 1,873,358.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.