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Finding the Third Proportional to 644,400 and 946,869

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Solution

The third proportional to 644,400 and 946,869 is: 1,391,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,400 : 946,869 = 946,869 : x
  2. Step 2: Convert to fraction form
    644,400/946,869 = 946,869/x
  3. Step 3: Cross multiply
    644,400x = 946,869 × 946,869
  4. Step 4: Simplify right side
    644,400x = 896,560,903,161
  5. Step 5: Solve for x
    x = 896,560,903,161/644,400
  6. Step 6: Final answer
    x = 1,391,311.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.