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Finding the Third Proportional to 251,389.13 and 351,643.50

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Solution

The third proportional to 251,389.13 and 351,643.50 is: 491,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,389.13 : 351,643.50 = 351,643.50 : x
  2. Step 2: Convert to fraction form
    251,389.13/351,643.50 = 351,643.50/x
  3. Step 3: Cross multiply
    251,389.13x = 351,643.50 × 351,643.50
  4. Step 4: Simplify right side
    251,389.13x = 123,653,151,092.25
  5. Step 5: Solve for x
    x = 123,653,151,092.25/251,389.13
  6. Step 6: Final answer
    x = 491,879.48

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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.