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Finding the Third Proportional to 114,311.25 and 154,200.38

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Solution

The third proportional to 114,311.25 and 154,200.38 is: 208,008.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,311.25 : 154,200.38 = 154,200.38 : x
  2. Step 2: Convert to fraction form
    114,311.25/154,200.38 = 154,200.38/x
  3. Step 3: Cross multiply
    114,311.25x = 154,200.38 × 154,200.38
  4. Step 4: Simplify right side
    114,311.25x = 23,777,755,650.14
  5. Step 5: Solve for x
    x = 23,777,755,650.14/114,311.25
  6. Step 6: Final answer
    x = 208,008.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.