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Finding the Third Proportional to 118,431 and 253,751

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Solution

The third proportional to 118,431 and 253,751 is: 543,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,431 : 253,751 = 253,751 : x
  2. Step 2: Convert to fraction form
    118,431/253,751 = 253,751/x
  3. Step 3: Cross multiply
    118,431x = 253,751 × 253,751
  4. Step 4: Simplify right side
    118,431x = 64,389,570,001
  5. Step 5: Solve for x
    x = 64,389,570,001/118,431
  6. Step 6: Final answer
    x = 543,688.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.