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Finding the Third Proportional to 218,576.25 and 347,557.50

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Solution

The third proportional to 218,576.25 and 347,557.50 is: 552,650.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,576.25 : 347,557.50 = 347,557.50 : x
  2. Step 2: Convert to fraction form
    218,576.25/347,557.50 = 347,557.50/x
  3. Step 3: Cross multiply
    218,576.25x = 347,557.50 × 347,557.50
  4. Step 4: Simplify right side
    218,576.25x = 120,796,215,806.25
  5. Step 5: Solve for x
    x = 120,796,215,806.25/218,576.25
  6. Step 6: Final answer
    x = 552,650.23

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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.