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Finding the Third Proportional to 150,438.75 and 320,371.50

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Solution

The third proportional to 150,438.75 and 320,371.50 is: 682,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,438.75 : 320,371.50 = 320,371.50 : x
  2. Step 2: Convert to fraction form
    150,438.75/320,371.50 = 320,371.50/x
  3. Step 3: Cross multiply
    150,438.75x = 320,371.50 × 320,371.50
  4. Step 4: Simplify right side
    150,438.75x = 102,637,898,012.25
  5. Step 5: Solve for x
    x = 102,637,898,012.25/150,438.75
  6. Step 6: Final answer
    x = 682,257.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.