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Finding the Third Proportional to 290,022 and 448,257

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Solution

The third proportional to 290,022 and 448,257 is: 692,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,022 : 448,257 = 448,257 : x
  2. Step 2: Convert to fraction form
    290,022/448,257 = 448,257/x
  3. Step 3: Cross multiply
    290,022x = 448,257 × 448,257
  4. Step 4: Simplify right side
    290,022x = 200,934,338,049
  5. Step 5: Solve for x
    x = 200,934,338,049/290,022
  6. Step 6: Final answer
    x = 692,824.47

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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.