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Finding the Third Proportional to 217,216.50 and 322,440.75

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Solution

The third proportional to 217,216.50 and 322,440.75 is: 478,637.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,216.50 : 322,440.75 = 322,440.75 : x
  2. Step 2: Convert to fraction form
    217,216.50/322,440.75 = 322,440.75/x
  3. Step 3: Cross multiply
    217,216.50x = 322,440.75 × 322,440.75
  4. Step 4: Simplify right side
    217,216.50x = 103,968,037,260.56
  5. Step 5: Solve for x
    x = 103,968,037,260.56/217,216.50
  6. Step 6: Final answer
    x = 478,637.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.