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Finding the Third Proportional to 203,640.33 and 438,818.77

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Solution

The third proportional to 203,640.33 and 438,818.77 is: 945,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,640.33 : 438,818.77 = 438,818.77 : x
  2. Step 2: Convert to fraction form
    203,640.33/438,818.77 = 438,818.77/x
  3. Step 3: Cross multiply
    203,640.33x = 438,818.77 × 438,818.77
  4. Step 4: Simplify right side
    203,640.33x = 192,561,909,064.65
  5. Step 5: Solve for x
    x = 192,561,909,064.65/203,640.33
  6. Step 6: Final answer
    x = 945,598.11

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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.