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Finding the Third Proportional to 251,390 and 351,646

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Solution

The third proportional to 251,390 and 351,646 is: 491,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,390 : 351,646 = 351,646 : x
  2. Step 2: Convert to fraction form
    251,390/351,646 = 351,646/x
  3. Step 3: Cross multiply
    251,390x = 351,646 × 351,646
  4. Step 4: Simplify right side
    251,390x = 123,654,909,316
  5. Step 5: Solve for x
    x = 123,654,909,316/251,390
  6. Step 6: Final answer
    x = 491,884.76

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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.