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Finding the Third Proportional to 378,764.25 and 817,620

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Solution

The third proportional to 378,764.25 and 817,620 is: 1,764,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,764.25 : 817,620 = 817,620 : x
  2. Step 2: Convert to fraction form
    378,764.25/817,620 = 817,620/x
  3. Step 3: Cross multiply
    378,764.25x = 817,620 × 817,620
  4. Step 4: Simplify right side
    378,764.25x = 668,502,464,400
  5. Step 5: Solve for x
    x = 668,502,464,400/378,764.25
  6. Step 6: Final answer
    x = 1,764,956.60

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