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Finding the Third Proportional to 419,494 and 908,972

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Solution

The third proportional to 419,494 and 908,972 is: 1,969,587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,494 : 908,972 = 908,972 : x
  2. Step 2: Convert to fraction form
    419,494/908,972 = 908,972/x
  3. Step 3: Cross multiply
    419,494x = 908,972 × 908,972
  4. Step 4: Simplify right side
    419,494x = 826,230,096,784
  5. Step 5: Solve for x
    x = 826,230,096,784/419,494
  6. Step 6: Final answer
    x = 1,969,587.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.