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Finding the Third Proportional to 231,138 and 497,268

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Solution

The third proportional to 231,138 and 497,268 is: 1,069,817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,138 : 497,268 = 497,268 : x
  2. Step 2: Convert to fraction form
    231,138/497,268 = 497,268/x
  3. Step 3: Cross multiply
    231,138x = 497,268 × 497,268
  4. Step 4: Simplify right side
    231,138x = 247,275,463,824
  5. Step 5: Solve for x
    x = 247,275,463,824/231,138
  6. Step 6: Final answer
    x = 1,069,817.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.