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Finding the Third Proportional to 322,120 and 425,912

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Solution

The third proportional to 322,120 and 425,912 is: 563,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,120 : 425,912 = 425,912 : x
  2. Step 2: Convert to fraction form
    322,120/425,912 = 425,912/x
  3. Step 3: Cross multiply
    322,120x = 425,912 × 425,912
  4. Step 4: Simplify right side
    322,120x = 181,401,031,744
  5. Step 5: Solve for x
    x = 181,401,031,744/322,120
  6. Step 6: Final answer
    x = 563,147.37

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.