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Finding the Third Proportional to 231,849 and 505,890

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Solution

The third proportional to 231,849 and 505,890 is: 1,103,842.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,849 : 505,890 = 505,890 : x
  2. Step 2: Convert to fraction form
    231,849/505,890 = 505,890/x
  3. Step 3: Cross multiply
    231,849x = 505,890 × 505,890
  4. Step 4: Simplify right side
    231,849x = 255,924,692,100
  5. Step 5: Solve for x
    x = 255,924,692,100/231,849
  6. Step 6: Final answer
    x = 1,103,842.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.