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Finding the Third Proportional to 217,377 and 324,060.75

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Solution

The third proportional to 217,377 and 324,060.75 is: 483,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,377 : 324,060.75 = 324,060.75 : x
  2. Step 2: Convert to fraction form
    217,377/324,060.75 = 324,060.75/x
  3. Step 3: Cross multiply
    217,377x = 324,060.75 × 324,060.75
  4. Step 4: Simplify right side
    217,377x = 105,015,369,690.56
  5. Step 5: Solve for x
    x = 105,015,369,690.56/217,377
  6. Step 6: Final answer
    x = 483,102.49

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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.