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Finding the Third Proportional to 251,026 and 351,111

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Solution

The third proportional to 251,026 and 351,111 is: 491,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,026 : 351,111 = 351,111 : x
  2. Step 2: Convert to fraction form
    251,026/351,111 = 351,111/x
  3. Step 3: Cross multiply
    251,026x = 351,111 × 351,111
  4. Step 4: Simplify right side
    251,026x = 123,278,934,321
  5. Step 5: Solve for x
    x = 123,278,934,321/251,026
  6. Step 6: Final answer
    x = 491,100.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.