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Finding the Third Proportional to 289,931 and 588,058

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Solution

The third proportional to 289,931 and 588,058 is: 1,192,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,931 : 588,058 = 588,058 : x
  2. Step 2: Convert to fraction form
    289,931/588,058 = 588,058/x
  3. Step 3: Cross multiply
    289,931x = 588,058 × 588,058
  4. Step 4: Simplify right side
    289,931x = 345,812,211,364
  5. Step 5: Solve for x
    x = 345,812,211,364/289,931
  6. Step 6: Final answer
    x = 1,192,739.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.