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Finding the Third Proportional to 290,212 and 609,800

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Solution

The third proportional to 290,212 and 609,800 is: 1,281,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,212 : 609,800 = 609,800 : x
  2. Step 2: Convert to fraction form
    290,212/609,800 = 609,800/x
  3. Step 3: Cross multiply
    290,212x = 609,800 × 609,800
  4. Step 4: Simplify right side
    290,212x = 371,856,040,000
  5. Step 5: Solve for x
    x = 371,856,040,000/290,212
  6. Step 6: Final answer
    x = 1,281,325.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.