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Finding the Third Proportional to 118,487 and 253,651

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Solution

The third proportional to 118,487 and 253,651 is: 543,003.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,487 : 253,651 = 253,651 : x
  2. Step 2: Convert to fraction form
    118,487/253,651 = 253,651/x
  3. Step 3: Cross multiply
    118,487x = 253,651 × 253,651
  4. Step 4: Simplify right side
    118,487x = 64,338,829,801
  5. Step 5: Solve for x
    x = 64,338,829,801/118,487
  6. Step 6: Final answer
    x = 543,003.28

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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.