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Finding the Third Proportional to 386,366 and 814,684

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Solution

The third proportional to 386,366 and 814,684 is: 1,717,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,366 : 814,684 = 814,684 : x
  2. Step 2: Convert to fraction form
    386,366/814,684 = 814,684/x
  3. Step 3: Cross multiply
    386,366x = 814,684 × 814,684
  4. Step 4: Simplify right side
    386,366x = 663,710,019,856
  5. Step 5: Solve for x
    x = 663,710,019,856/386,366
  6. Step 6: Final answer
    x = 1,717,827.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.