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Finding the Third Proportional to 478,936 and 639,080

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Solution

The third proportional to 478,936 and 639,080 is: 852,772.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,936 : 639,080 = 639,080 : x
  2. Step 2: Convert to fraction form
    478,936/639,080 = 639,080/x
  3. Step 3: Cross multiply
    478,936x = 639,080 × 639,080
  4. Step 4: Simplify right side
    478,936x = 408,423,246,400
  5. Step 5: Solve for x
    x = 408,423,246,400/478,936
  6. Step 6: Final answer
    x = 852,772.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.