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Finding the Third Proportional to 386,555 and 783,496

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Solution

The third proportional to 386,555 and 783,496 is: 1,588,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,555 : 783,496 = 783,496 : x
  2. Step 2: Convert to fraction form
    386,555/783,496 = 783,496/x
  3. Step 3: Cross multiply
    386,555x = 783,496 × 783,496
  4. Step 4: Simplify right side
    386,555x = 613,865,982,016
  5. Step 5: Solve for x
    x = 613,865,982,016/386,555
  6. Step 6: Final answer
    x = 1,588,043.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.