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Finding the Third Proportional to 118,433 and 253,755

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Solution

The third proportional to 118,433 and 253,755 is: 543,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,433 : 253,755 = 253,755 : x
  2. Step 2: Convert to fraction form
    118,433/253,755 = 253,755/x
  3. Step 3: Cross multiply
    118,433x = 253,755 × 253,755
  4. Step 4: Simplify right side
    118,433x = 64,391,600,025
  5. Step 5: Solve for x
    x = 64,391,600,025/118,433
  6. Step 6: Final answer
    x = 543,696.44

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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.