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Finding the Third Proportional to 386,364 and 814,680

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Solution

The third proportional to 386,364 and 814,680 is: 1,717,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,364 : 814,680 = 814,680 : x
  2. Step 2: Convert to fraction form
    386,364/814,680 = 814,680/x
  3. Step 3: Cross multiply
    386,364x = 814,680 × 814,680
  4. Step 4: Simplify right side
    386,364x = 663,703,502,400
  5. Step 5: Solve for x
    x = 663,703,502,400/386,364
  6. Step 6: Final answer
    x = 1,717,819.21

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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.