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Finding the Third Proportional to 417,859 and 902,218

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Solution

The third proportional to 417,859 and 902,218 is: 1,948,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,859 : 902,218 = 902,218 : x
  2. Step 2: Convert to fraction form
    417,859/902,218 = 902,218/x
  3. Step 3: Cross multiply
    417,859x = 902,218 × 902,218
  4. Step 4: Simplify right side
    417,859x = 813,997,319,524
  5. Step 5: Solve for x
    x = 813,997,319,524/417,859
  6. Step 6: Final answer
    x = 1,948,019.12

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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.