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Finding the Third Proportional to 518,489 and 799,844

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Solution

The third proportional to 518,489 and 799,844 is: 1,233,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,489 : 799,844 = 799,844 : x
  2. Step 2: Convert to fraction form
    518,489/799,844 = 799,844/x
  3. Step 3: Cross multiply
    518,489x = 799,844 × 799,844
  4. Step 4: Simplify right side
    518,489x = 639,750,424,336
  5. Step 5: Solve for x
    x = 639,750,424,336/518,489
  6. Step 6: Final answer
    x = 1,233,874.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.