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Finding the Third Proportional to 120,538 and 230,135

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Solution

The third proportional to 120,538 and 230,135 is: 439,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,538 : 230,135 = 230,135 : x
  2. Step 2: Convert to fraction form
    120,538/230,135 = 230,135/x
  3. Step 3: Cross multiply
    120,538x = 230,135 × 230,135
  4. Step 4: Simplify right side
    120,538x = 52,962,118,225
  5. Step 5: Solve for x
    x = 52,962,118,225/120,538
  6. Step 6: Final answer
    x = 439,381.09

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.