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Finding the Third Proportional to 251,035 and 351,118

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Solution

The third proportional to 251,035 and 351,118 is: 491,102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,035 : 351,118 = 351,118 : x
  2. Step 2: Convert to fraction form
    251,035/351,118 = 351,118/x
  3. Step 3: Cross multiply
    251,035x = 351,118 × 351,118
  4. Step 4: Simplify right side
    251,035x = 123,283,849,924
  5. Step 5: Solve for x
    x = 123,283,849,924/251,035
  6. Step 6: Final answer
    x = 491,102.24

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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.