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Finding the Third Proportional to 231,861 and 488,627

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Solution

The third proportional to 231,861 and 488,627 is: 1,029,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,861 : 488,627 = 488,627 : x
  2. Step 2: Convert to fraction form
    231,861/488,627 = 488,627/x
  3. Step 3: Cross multiply
    231,861x = 488,627 × 488,627
  4. Step 4: Simplify right side
    231,861x = 238,756,345,129
  5. Step 5: Solve for x
    x = 238,756,345,129/231,861
  6. Step 6: Final answer
    x = 1,029,739.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.