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Finding the Third Proportional to 409,626 and 891,149

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Solution

The third proportional to 409,626 and 891,149 is: 1,938,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,626 : 891,149 = 891,149 : x
  2. Step 2: Convert to fraction form
    409,626/891,149 = 891,149/x
  3. Step 3: Cross multiply
    409,626x = 891,149 × 891,149
  4. Step 4: Simplify right side
    409,626x = 794,146,540,201
  5. Step 5: Solve for x
    x = 794,146,540,201/409,626
  6. Step 6: Final answer
    x = 1,938,711.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.