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Finding the Third Proportional to 251,391 and 351,647

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Solution

The third proportional to 251,391 and 351,647 is: 491,885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,391 : 351,647 = 351,647 : x
  2. Step 2: Convert to fraction form
    251,391/351,647 = 351,647/x
  3. Step 3: Cross multiply
    251,391x = 351,647 × 351,647
  4. Step 4: Simplify right side
    251,391x = 123,655,612,609
  5. Step 5: Solve for x
    x = 123,655,612,609/251,391
  6. Step 6: Final answer
    x = 491,885.60

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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.