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Finding the Third Proportional to 320,852 and 448,597

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Solution

The third proportional to 320,852 and 448,597 is: 627,202.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,852 : 448,597 = 448,597 : x
  2. Step 2: Convert to fraction form
    320,852/448,597 = 448,597/x
  3. Step 3: Cross multiply
    320,852x = 448,597 × 448,597
  4. Step 4: Simplify right side
    320,852x = 201,239,268,409
  5. Step 5: Solve for x
    x = 201,239,268,409/320,852
  6. Step 6: Final answer
    x = 627,202.79

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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.