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Finding the Third Proportional to 120,605 and 177,296

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Solution

The third proportional to 120,605 and 177,296 is: 260,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,605 : 177,296 = 177,296 : x
  2. Step 2: Convert to fraction form
    120,605/177,296 = 177,296/x
  3. Step 3: Cross multiply
    120,605x = 177,296 × 177,296
  4. Step 4: Simplify right side
    120,605x = 31,433,871,616
  5. Step 5: Solve for x
    x = 31,433,871,616/120,605
  6. Step 6: Final answer
    x = 260,634.90

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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.