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Finding the Third Proportional to 386,354 and 814,660

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Solution

The third proportional to 386,354 and 814,660 is: 1,717,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,354 : 814,660 = 814,660 : x
  2. Step 2: Convert to fraction form
    386,354/814,660 = 814,660/x
  3. Step 3: Cross multiply
    386,354x = 814,660 × 814,660
  4. Step 4: Simplify right side
    386,354x = 663,670,915,600
  5. Step 5: Solve for x
    x = 663,670,915,600/386,354
  6. Step 6: Final answer
    x = 1,717,779.33

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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.