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Finding the Third Proportional to 295,911 and 639,115

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Solution

The third proportional to 295,911 and 639,115 is: 1,380,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,911 : 639,115 = 639,115 : x
  2. Step 2: Convert to fraction form
    295,911/639,115 = 639,115/x
  3. Step 3: Cross multiply
    295,911x = 639,115 × 639,115
  4. Step 4: Simplify right side
    295,911x = 408,467,983,225
  5. Step 5: Solve for x
    x = 408,467,983,225/295,911
  6. Step 6: Final answer
    x = 1,380,374.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.