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Finding the Third Proportional to 518,305 and 793,963

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Solution

The third proportional to 518,305 and 793,963 is: 1,216,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,305 : 793,963 = 793,963 : x
  2. Step 2: Convert to fraction form
    518,305/793,963 = 793,963/x
  3. Step 3: Cross multiply
    518,305x = 793,963 × 793,963
  4. Step 4: Simplify right side
    518,305x = 630,377,245,369
  5. Step 5: Solve for x
    x = 630,377,245,369/518,305
  6. Step 6: Final answer
    x = 1,216,228.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.