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Finding the Third Proportional to 386,356 and 814,664

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Solution

The third proportional to 386,356 and 814,664 is: 1,717,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,356 : 814,664 = 814,664 : x
  2. Step 2: Convert to fraction form
    386,356/814,664 = 814,664/x
  3. Step 3: Cross multiply
    386,356x = 814,664 × 814,664
  4. Step 4: Simplify right side
    386,356x = 663,677,432,896
  5. Step 5: Solve for x
    x = 663,677,432,896/386,356
  6. Step 6: Final answer
    x = 1,717,787.31

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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.