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Finding the Third Proportional to 424,189 and 909,099

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Solution

The third proportional to 424,189 and 909,099 is: 1,948,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,189 : 909,099 = 909,099 : x
  2. Step 2: Convert to fraction form
    424,189/909,099 = 909,099/x
  3. Step 3: Cross multiply
    424,189x = 909,099 × 909,099
  4. Step 4: Simplify right side
    424,189x = 826,460,991,801
  5. Step 5: Solve for x
    x = 826,460,991,801/424,189
  6. Step 6: Final answer
    x = 1,948,331.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.