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Finding the Third Proportional to 290,240 and 448,474

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Solution

The third proportional to 290,240 and 448,474 is: 692,974.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,240 : 448,474 = 448,474 : x
  2. Step 2: Convert to fraction form
    290,240/448,474 = 448,474/x
  3. Step 3: Cross multiply
    290,240x = 448,474 × 448,474
  4. Step 4: Simplify right side
    290,240x = 201,128,928,676
  5. Step 5: Solve for x
    x = 201,128,928,676/290,240
  6. Step 6: Final answer
    x = 692,974.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.