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Finding the Third Proportional to 419,848 and 887,120

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Solution

The third proportional to 419,848 and 887,120 is: 1,874,444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,848 : 887,120 = 887,120 : x
  2. Step 2: Convert to fraction form
    419,848/887,120 = 887,120/x
  3. Step 3: Cross multiply
    419,848x = 887,120 × 887,120
  4. Step 4: Simplify right side
    419,848x = 786,981,894,400
  5. Step 5: Solve for x
    x = 786,981,894,400/419,848
  6. Step 6: Final answer
    x = 1,874,444.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.