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Finding the Third Proportional to 407,471 and 890,667

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Solution

The third proportional to 407,471 and 890,667 is: 1,946,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,471 : 890,667 = 890,667 : x
  2. Step 2: Convert to fraction form
    407,471/890,667 = 890,667/x
  3. Step 3: Cross multiply
    407,471x = 890,667 × 890,667
  4. Step 4: Simplify right side
    407,471x = 793,287,704,889
  5. Step 5: Solve for x
    x = 793,287,704,889/407,471
  6. Step 6: Final answer
    x = 1,946,856.84

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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.