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Finding the Third Proportional to 138,700.50 and 203,112

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Solution

The third proportional to 138,700.50 and 203,112 is: 297,435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,700.50 : 203,112 = 203,112 : x
  2. Step 2: Convert to fraction form
    138,700.50/203,112 = 203,112/x
  3. Step 3: Cross multiply
    138,700.50x = 203,112 × 203,112
  4. Step 4: Simplify right side
    138,700.50x = 41,254,484,544
  5. Step 5: Solve for x
    x = 41,254,484,544/138,700.50
  6. Step 6: Final answer
    x = 297,435.73

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.