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Finding the Third Proportional to 290,882 and 450,147

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Solution

The third proportional to 290,882 and 450,147 is: 696,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,882 : 450,147 = 450,147 : x
  2. Step 2: Convert to fraction form
    290,882/450,147 = 450,147/x
  3. Step 3: Cross multiply
    290,882x = 450,147 × 450,147
  4. Step 4: Simplify right side
    290,882x = 202,632,321,609
  5. Step 5: Solve for x
    x = 202,632,321,609/290,882
  6. Step 6: Final answer
    x = 696,613.48

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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.