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Finding the Third Proportional to 115,318 and 250,831

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Solution

The third proportional to 115,318 and 250,831 is: 545,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,318 : 250,831 = 250,831 : x
  2. Step 2: Convert to fraction form
    115,318/250,831 = 250,831/x
  3. Step 3: Cross multiply
    115,318x = 250,831 × 250,831
  4. Step 4: Simplify right side
    115,318x = 62,916,190,561
  5. Step 5: Solve for x
    x = 62,916,190,561/115,318
  6. Step 6: Final answer
    x = 545,588.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.