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Finding the Third Proportional to 168,498 and 253,431

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Solution

The third proportional to 168,498 and 253,431 is: 381,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,498 : 253,431 = 253,431 : x
  2. Step 2: Convert to fraction form
    168,498/253,431 = 253,431/x
  3. Step 3: Cross multiply
    168,498x = 253,431 × 253,431
  4. Step 4: Simplify right side
    168,498x = 64,227,271,761
  5. Step 5: Solve for x
    x = 64,227,271,761/168,498
  6. Step 6: Final answer
    x = 381,175.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.