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Finding the Third Proportional to 203,807.81 and 438,780.38

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Solution

The third proportional to 203,807.81 and 438,780.38 is: 944,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,807.81 : 438,780.38 = 438,780.38 : x
  2. Step 2: Convert to fraction form
    203,807.81/438,780.38 = 438,780.38/x
  3. Step 3: Cross multiply
    203,807.81x = 438,780.38 × 438,780.38
  4. Step 4: Simplify right side
    203,807.81x = 192,528,217,485.14
  5. Step 5: Solve for x
    x = 192,528,217,485.14/203,807.81
  6. Step 6: Final answer
    x = 944,655.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.