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Finding the Third Proportional to 320,749 and 448,427

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Solution

The third proportional to 320,749 and 448,427 is: 626,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,749 : 448,427 = 448,427 : x
  2. Step 2: Convert to fraction form
    320,749/448,427 = 448,427/x
  3. Step 3: Cross multiply
    320,749x = 448,427 × 448,427
  4. Step 4: Simplify right side
    320,749x = 201,086,774,329
  5. Step 5: Solve for x
    x = 201,086,774,329/320,749
  6. Step 6: Final answer
    x = 626,928.76

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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.