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Finding the Third Proportional to 90,562 and 120,777

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Solution

The third proportional to 90,562 and 120,777 is: 161,072.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,562 : 120,777 = 120,777 : x
  2. Step 2: Convert to fraction form
    90,562/120,777 = 120,777/x
  3. Step 3: Cross multiply
    90,562x = 120,777 × 120,777
  4. Step 4: Simplify right side
    90,562x = 14,587,083,729
  5. Step 5: Solve for x
    x = 14,587,083,729/90,562
  6. Step 6: Final answer
    x = 161,072.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.