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Finding the Third Proportional to 204,645.38 and 430,499.25

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Solution

The third proportional to 204,645.38 and 430,499.25 is: 905,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,645.38 : 430,499.25 = 430,499.25 : x
  2. Step 2: Convert to fraction form
    204,645.38/430,499.25 = 430,499.25/x
  3. Step 3: Cross multiply
    204,645.38x = 430,499.25 × 430,499.25
  4. Step 4: Simplify right side
    204,645.38x = 185,329,604,250.56
  5. Step 5: Solve for x
    x = 185,329,604,250.56/204,645.38
  6. Step 6: Final answer
    x = 905,613.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.