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Finding the Third Proportional to 402,357 and 873,912

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Solution

The third proportional to 402,357 and 873,912 is: 1,898,120.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,357 : 873,912 = 873,912 : x
  2. Step 2: Convert to fraction form
    402,357/873,912 = 873,912/x
  3. Step 3: Cross multiply
    402,357x = 873,912 × 873,912
  4. Step 4: Simplify right side
    402,357x = 763,722,183,744
  5. Step 5: Solve for x
    x = 763,722,183,744/402,357
  6. Step 6: Final answer
    x = 1,898,120.78

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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.