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Finding the Third Proportional to 217,683 and 336,229.50

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Solution

The third proportional to 217,683 and 336,229.50 is: 519,334.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,683 : 336,229.50 = 336,229.50 : x
  2. Step 2: Convert to fraction form
    217,683/336,229.50 = 336,229.50/x
  3. Step 3: Cross multiply
    217,683x = 336,229.50 × 336,229.50
  4. Step 4: Simplify right side
    217,683x = 113,050,276,670.25
  5. Step 5: Solve for x
    x = 113,050,276,670.25/217,683
  6. Step 6: Final answer
    x = 519,334.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.