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Finding the Third Proportional to 290,262 and 639,396

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Solution

The third proportional to 290,262 and 639,396 is: 1,408,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,262 : 639,396 = 639,396 : x
  2. Step 2: Convert to fraction form
    290,262/639,396 = 639,396/x
  3. Step 3: Cross multiply
    290,262x = 639,396 × 639,396
  4. Step 4: Simplify right side
    290,262x = 408,827,244,816
  5. Step 5: Solve for x
    x = 408,827,244,816/290,262
  6. Step 6: Final answer
    x = 1,408,476.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.