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Finding the Third Proportional to 251,335 and 351,579

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Solution

The third proportional to 251,335 and 351,579 is: 491,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,335 : 351,579 = 351,579 : x
  2. Step 2: Convert to fraction form
    251,335/351,579 = 351,579/x
  3. Step 3: Cross multiply
    251,335x = 351,579 × 351,579
  4. Step 4: Simplify right side
    251,335x = 123,607,793,241
  5. Step 5: Solve for x
    x = 123,607,793,241/251,335
  6. Step 6: Final answer
    x = 491,804.93

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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.