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Finding the Third Proportional to 428,028 and 640,872

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Solution

The third proportional to 428,028 and 640,872 is: 959,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,028 : 640,872 = 640,872 : x
  2. Step 2: Convert to fraction form
    428,028/640,872 = 640,872/x
  3. Step 3: Cross multiply
    428,028x = 640,872 × 640,872
  4. Step 4: Simplify right side
    428,028x = 410,716,920,384
  5. Step 5: Solve for x
    x = 410,716,920,384/428,028
  6. Step 6: Final answer
    x = 959,556.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.