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Finding the Third Proportional to 203,142 and 430,860

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Solution

The third proportional to 203,142 and 430,860 is: 913,845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,142 : 430,860 = 430,860 : x
  2. Step 2: Convert to fraction form
    203,142/430,860 = 430,860/x
  3. Step 3: Cross multiply
    203,142x = 430,860 × 430,860
  4. Step 4: Simplify right side
    203,142x = 185,640,339,600
  5. Step 5: Solve for x
    x = 185,640,339,600/203,142
  6. Step 6: Final answer
    x = 913,845.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.