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Finding the Third Proportional to 378,686.06 and 817,560.38

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Solution

The third proportional to 378,686.06 and 817,560.38 is: 1,765,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,686.06 : 817,560.38 = 817,560.38 : x
  2. Step 2: Convert to fraction form
    378,686.06/817,560.38 = 817,560.38/x
  3. Step 3: Cross multiply
    378,686.06x = 817,560.38 × 817,560.38
  4. Step 4: Simplify right side
    378,686.06x = 668,404,966,770.14
  5. Step 5: Solve for x
    x = 668,404,966,770.14/378,686.06
  6. Step 6: Final answer
    x = 1,765,063.55

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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.