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Finding the Third Proportional to 320,838 and 448,561

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Solution

The third proportional to 320,838 and 448,561 is: 627,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,838 : 448,561 = 448,561 : x
  2. Step 2: Convert to fraction form
    320,838/448,561 = 448,561/x
  3. Step 3: Cross multiply
    320,838x = 448,561 × 448,561
  4. Step 4: Simplify right side
    320,838x = 201,206,970,721
  5. Step 5: Solve for x
    x = 201,206,970,721/320,838
  6. Step 6: Final answer
    x = 627,129.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.