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Finding the Third Proportional to 305,540 and 448,945

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Solution

The third proportional to 305,540 and 448,945 is: 659,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,540 : 448,945 = 448,945 : x
  2. Step 2: Convert to fraction form
    305,540/448,945 = 448,945/x
  3. Step 3: Cross multiply
    305,540x = 448,945 × 448,945
  4. Step 4: Simplify right side
    305,540x = 201,551,613,025
  5. Step 5: Solve for x
    x = 201,551,613,025/305,540
  6. Step 6: Final answer
    x = 659,657.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.