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Finding the Third Proportional to 251,703 and 388,864

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Solution

The third proportional to 251,703 and 388,864 is: 600,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,703 : 388,864 = 388,864 : x
  2. Step 2: Convert to fraction form
    251,703/388,864 = 388,864/x
  3. Step 3: Cross multiply
    251,703x = 388,864 × 388,864
  4. Step 4: Simplify right side
    251,703x = 151,215,210,496
  5. Step 5: Solve for x
    x = 151,215,210,496/251,703
  6. Step 6: Final answer
    x = 600,768.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.