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Finding the Third Proportional to 518,427 and 800,973

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Solution

The third proportional to 518,427 and 800,973 is: 1,237,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,427 : 800,973 = 800,973 : x
  2. Step 2: Convert to fraction form
    518,427/800,973 = 800,973/x
  3. Step 3: Cross multiply
    518,427x = 800,973 × 800,973
  4. Step 4: Simplify right side
    518,427x = 641,557,746,729
  5. Step 5: Solve for x
    x = 641,557,746,729/518,427
  6. Step 6: Final answer
    x = 1,237,508.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.