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Finding the Third Proportional to 421,084 and 920,902

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Solution

The third proportional to 421,084 and 920,902 is: 2,013,993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,084 : 920,902 = 920,902 : x
  2. Step 2: Convert to fraction form
    421,084/920,902 = 920,902/x
  3. Step 3: Cross multiply
    421,084x = 920,902 × 920,902
  4. Step 4: Simplify right side
    421,084x = 848,060,493,604
  5. Step 5: Solve for x
    x = 848,060,493,604/421,084
  6. Step 6: Final answer
    x = 2,013,993.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.