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Finding the Third Proportional to 251,188 and 351,352

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Solution

The third proportional to 251,188 and 351,352 is: 491,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,188 : 351,352 = 351,352 : x
  2. Step 2: Convert to fraction form
    251,188/351,352 = 351,352/x
  3. Step 3: Cross multiply
    251,188x = 351,352 × 351,352
  4. Step 4: Simplify right side
    251,188x = 123,448,227,904
  5. Step 5: Solve for x
    x = 123,448,227,904/251,188
  6. Step 6: Final answer
    x = 491,457.51

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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.