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Finding the Third Proportional to 133,700.63 and 203,016.38

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Solution

The third proportional to 133,700.63 and 203,016.38 is: 308,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,700.63 : 203,016.38 = 203,016.38 : x
  2. Step 2: Convert to fraction form
    133,700.63/203,016.38 = 203,016.38/x
  3. Step 3: Cross multiply
    133,700.63x = 203,016.38 × 203,016.38
  4. Step 4: Simplify right side
    133,700.63x = 41,215,648,518.14
  5. Step 5: Solve for x
    x = 41,215,648,518.14/133,700.63
  6. Step 6: Final answer
    x = 308,268.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.