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Finding the Third Proportional to 226,288.13 and 311,713.88

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Solution

The third proportional to 226,288.13 and 311,713.88 is: 429,388.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,288.13 : 311,713.88 = 311,713.88 : x
  2. Step 2: Convert to fraction form
    226,288.13/311,713.88 = 311,713.88/x
  3. Step 3: Cross multiply
    226,288.13x = 311,713.88 × 311,713.88
  4. Step 4: Simplify right side
    226,288.13x = 97,165,539,867.52
  5. Step 5: Solve for x
    x = 97,165,539,867.52/226,288.13
  6. Step 6: Final answer
    x = 429,388.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.