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Finding the Third Proportional to 217,336.50 and 345,822.75

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Solution

The third proportional to 217,336.50 and 345,822.75 is: 550,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,336.50 : 345,822.75 = 345,822.75 : x
  2. Step 2: Convert to fraction form
    217,336.50/345,822.75 = 345,822.75/x
  3. Step 3: Cross multiply
    217,336.50x = 345,822.75 × 345,822.75
  4. Step 4: Simplify right side
    217,336.50x = 119,593,374,417.56
  5. Step 5: Solve for x
    x = 119,593,374,417.56/217,336.50
  6. Step 6: Final answer
    x = 550,268.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.