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Finding the Third Proportional to 251,822 and 393,051

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Solution

The third proportional to 251,822 and 393,051 is: 613,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,822 : 393,051 = 393,051 : x
  2. Step 2: Convert to fraction form
    251,822/393,051 = 393,051/x
  3. Step 3: Cross multiply
    251,822x = 393,051 × 393,051
  4. Step 4: Simplify right side
    251,822x = 154,489,088,601
  5. Step 5: Solve for x
    x = 154,489,088,601/251,822
  6. Step 6: Final answer
    x = 613,485.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.