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Finding the Third Proportional to 290,000 and 638,865

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Solution

The third proportional to 290,000 and 638,865 is: 1,407,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,000 : 638,865 = 638,865 : x
  2. Step 2: Convert to fraction form
    290,000/638,865 = 638,865/x
  3. Step 3: Cross multiply
    290,000x = 638,865 × 638,865
  4. Step 4: Simplify right side
    290,000x = 408,148,488,225
  5. Step 5: Solve for x
    x = 408,148,488,225/290,000
  6. Step 6: Final answer
    x = 1,407,408.58

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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.