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Finding the Third Proportional to 518,498 and 799,856

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Solution

The third proportional to 518,498 and 799,856 is: 1,233,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,498 : 799,856 = 799,856 : x
  2. Step 2: Convert to fraction form
    518,498/799,856 = 799,856/x
  3. Step 3: Cross multiply
    518,498x = 799,856 × 799,856
  4. Step 4: Simplify right side
    518,498x = 639,769,620,736
  5. Step 5: Solve for x
    x = 639,769,620,736/518,498
  6. Step 6: Final answer
    x = 1,233,890.24

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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.