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Finding the Third Proportional to 298,868 and 644,966

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Solution

The third proportional to 298,868 and 644,966 is: 1,391,855.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,868 : 644,966 = 644,966 : x
  2. Step 2: Convert to fraction form
    298,868/644,966 = 644,966/x
  3. Step 3: Cross multiply
    298,868x = 644,966 × 644,966
  4. Step 4: Simplify right side
    298,868x = 415,981,141,156
  5. Step 5: Solve for x
    x = 415,981,141,156/298,868
  6. Step 6: Final answer
    x = 1,391,855.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.