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Finding the Third Proportional to 397,197 and 588,078

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Solution

The third proportional to 397,197 and 588,078 is: 870,690.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,197 : 588,078 = 588,078 : x
  2. Step 2: Convert to fraction form
    397,197/588,078 = 588,078/x
  3. Step 3: Cross multiply
    397,197x = 588,078 × 588,078
  4. Step 4: Simplify right side
    397,197x = 345,835,734,084
  5. Step 5: Solve for x
    x = 345,835,734,084/397,197
  6. Step 6: Final answer
    x = 870,690.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.