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Finding the Third Proportional to 91,762 and 120,930

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Solution

The third proportional to 91,762 and 120,930 is: 159,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,762 : 120,930 = 120,930 : x
  2. Step 2: Convert to fraction form
    91,762/120,930 = 120,930/x
  3. Step 3: Cross multiply
    91,762x = 120,930 × 120,930
  4. Step 4: Simplify right side
    91,762x = 14,624,064,900
  5. Step 5: Solve for x
    x = 14,624,064,900/91,762
  6. Step 6: Final answer
    x = 159,369.51

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.