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Finding the Third Proportional to 291,424 and 639,936

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Solution

The third proportional to 291,424 and 639,936 is: 1,405,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,424 : 639,936 = 639,936 : x
  2. Step 2: Convert to fraction form
    291,424/639,936 = 639,936/x
  3. Step 3: Cross multiply
    291,424x = 639,936 × 639,936
  4. Step 4: Simplify right side
    291,424x = 409,518,084,096
  5. Step 5: Solve for x
    x = 409,518,084,096/291,424
  6. Step 6: Final answer
    x = 1,405,231.15

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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.