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Finding the Third Proportional to 231,903 and 330,736.50

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Solution

The third proportional to 231,903 and 330,736.50 is: 471,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,903 : 330,736.50 = 330,736.50 : x
  2. Step 2: Convert to fraction form
    231,903/330,736.50 = 330,736.50/x
  3. Step 3: Cross multiply
    231,903x = 330,736.50 × 330,736.50
  4. Step 4: Simplify right side
    231,903x = 109,386,632,432.25
  5. Step 5: Solve for x
    x = 109,386,632,432.25/231,903
  6. Step 6: Final answer
    x = 471,691.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.