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Finding the Third Proportional to 71,286 and 154,714

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Solution

The third proportional to 71,286 and 154,714 is: 335,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,286 : 154,714 = 154,714 : x
  2. Step 2: Convert to fraction form
    71,286/154,714 = 154,714/x
  3. Step 3: Cross multiply
    71,286x = 154,714 × 154,714
  4. Step 4: Simplify right side
    71,286x = 23,936,421,796
  5. Step 5: Solve for x
    x = 23,936,421,796/71,286
  6. Step 6: Final answer
    x = 335,780.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.