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Finding the Third Proportional to 78,075 and 167,989.50

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Solution

The third proportional to 78,075 and 167,989.50 is: 361,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,075 : 167,989.50 = 167,989.50 : x
  2. Step 2: Convert to fraction form
    78,075/167,989.50 = 167,989.50/x
  3. Step 3: Cross multiply
    78,075x = 167,989.50 × 167,989.50
  4. Step 4: Simplify right side
    78,075x = 28,220,472,110.25
  5. Step 5: Solve for x
    x = 28,220,472,110.25/78,075
  6. Step 6: Final answer
    x = 361,453.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.