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Finding the Third Proportional to 230,375 and 343,786

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Solution

The third proportional to 230,375 and 343,786 is: 513,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,375 : 343,786 = 343,786 : x
  2. Step 2: Convert to fraction form
    230,375/343,786 = 343,786/x
  3. Step 3: Cross multiply
    230,375x = 343,786 × 343,786
  4. Step 4: Simplify right side
    230,375x = 118,188,813,796
  5. Step 5: Solve for x
    x = 118,188,813,796/230,375
  6. Step 6: Final answer
    x = 513,027.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.