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Finding the Third Proportional to 120,771 and 177,463.50

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Solution

The third proportional to 120,771 and 177,463.50 is: 260,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,771 : 177,463.50 = 177,463.50 : x
  2. Step 2: Convert to fraction form
    120,771/177,463.50 = 177,463.50/x
  3. Step 3: Cross multiply
    120,771x = 177,463.50 × 177,463.50
  4. Step 4: Simplify right side
    120,771x = 31,493,293,832.25
  5. Step 5: Solve for x
    x = 31,493,293,832.25/120,771
  6. Step 6: Final answer
    x = 260,768.68

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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.