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Finding the Third Proportional to 421,676 and 922,008

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Solution

The third proportional to 421,676 and 922,008 is: 2,015,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,676 : 922,008 = 922,008 : x
  2. Step 2: Convert to fraction form
    421,676/922,008 = 922,008/x
  3. Step 3: Cross multiply
    421,676x = 922,008 × 922,008
  4. Step 4: Simplify right side
    421,676x = 850,098,752,064
  5. Step 5: Solve for x
    x = 850,098,752,064/421,676
  6. Step 6: Final answer
    x = 2,015,999.85

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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.