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Finding the Third Proportional to 203,670 and 438,684

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Solution

The third proportional to 203,670 and 438,684 is: 944,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,670 : 438,684 = 438,684 : x
  2. Step 2: Convert to fraction form
    203,670/438,684 = 438,684/x
  3. Step 3: Cross multiply
    203,670x = 438,684 × 438,684
  4. Step 4: Simplify right side
    203,670x = 192,443,651,856
  5. Step 5: Solve for x
    x = 192,443,651,856/203,670
  6. Step 6: Final answer
    x = 944,879.72

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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.