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Finding the Third Proportional to 120,829 and 177,679.50

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Solution

The third proportional to 120,829 and 177,679.50 is: 261,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,829 : 177,679.50 = 177,679.50 : x
  2. Step 2: Convert to fraction form
    120,829/177,679.50 = 177,679.50/x
  3. Step 3: Cross multiply
    120,829x = 177,679.50 × 177,679.50
  4. Step 4: Simplify right side
    120,829x = 31,570,004,720.25
  5. Step 5: Solve for x
    x = 31,570,004,720.25/120,829
  6. Step 6: Final answer
    x = 261,278.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.