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Finding the Third Proportional to 518,498 and 799,875

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Solution

The third proportional to 518,498 and 799,875 is: 1,233,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,498 : 799,875 = 799,875 : x
  2. Step 2: Convert to fraction form
    518,498/799,875 = 799,875/x
  3. Step 3: Cross multiply
    518,498x = 799,875 × 799,875
  4. Step 4: Simplify right side
    518,498x = 639,800,015,625
  5. Step 5: Solve for x
    x = 639,800,015,625/518,498
  6. Step 6: Final answer
    x = 1,233,948.86

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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.