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Finding the Third Proportional to 420,166 and 921,962

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Solution

The third proportional to 420,166 and 921,962 is: 2,023,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,166 : 921,962 = 921,962 : x
  2. Step 2: Convert to fraction form
    420,166/921,962 = 921,962/x
  3. Step 3: Cross multiply
    420,166x = 921,962 × 921,962
  4. Step 4: Simplify right side
    420,166x = 850,013,929,444
  5. Step 5: Solve for x
    x = 850,013,929,444/420,166
  6. Step 6: Final answer
    x = 2,023,043.11

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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.