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Finding the Third Proportional to 419,211 and 909,315

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Solution

The third proportional to 419,211 and 909,315 is: 1,972,404.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,211 : 909,315 = 909,315 : x
  2. Step 2: Convert to fraction form
    419,211/909,315 = 909,315/x
  3. Step 3: Cross multiply
    419,211x = 909,315 × 909,315
  4. Step 4: Simplify right side
    419,211x = 826,853,769,225
  5. Step 5: Solve for x
    x = 826,853,769,225/419,211
  6. Step 6: Final answer
    x = 1,972,404.75

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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.