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Finding the Third Proportional to 202,848.75 and 433,839.38

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Solution

The third proportional to 202,848.75 and 433,839.38 is: 927,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,848.75 : 433,839.38 = 433,839.38 : x
  2. Step 2: Convert to fraction form
    202,848.75/433,839.38 = 433,839.38/x
  3. Step 3: Cross multiply
    202,848.75x = 433,839.38 × 433,839.38
  4. Step 4: Simplify right side
    202,848.75x = 188,216,603,300.39
  5. Step 5: Solve for x
    x = 188,216,603,300.39/202,848.75
  6. Step 6: Final answer
    x = 927,866.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.