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Finding the Third Proportional to 290,260 and 639,392

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Solution

The third proportional to 290,260 and 639,392 is: 1,408,468.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,260 : 639,392 = 639,392 : x
  2. Step 2: Convert to fraction form
    290,260/639,392 = 639,392/x
  3. Step 3: Cross multiply
    290,260x = 639,392 × 639,392
  4. Step 4: Simplify right side
    290,260x = 408,822,129,664
  5. Step 5: Solve for x
    x = 408,822,129,664/290,260
  6. Step 6: Final answer
    x = 1,408,468.72

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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.