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Finding the Third Proportional to 378,787 and 817,660

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Solution

The third proportional to 378,787 and 817,660 is: 1,765,023.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,787 : 817,660 = 817,660 : x
  2. Step 2: Convert to fraction form
    378,787/817,660 = 817,660/x
  3. Step 3: Cross multiply
    378,787x = 817,660 × 817,660
  4. Step 4: Simplify right side
    378,787x = 668,567,875,600
  5. Step 5: Solve for x
    x = 668,567,875,600/378,787
  6. Step 6: Final answer
    x = 1,765,023.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.