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Finding the Third Proportional to 825,554 and 1,686,100

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Solution

The third proportional to 825,554 and 1,686,100 is: 3,443,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,554 : 1,686,100 = 1,686,100 : x
  2. Step 2: Convert to fraction form
    825,554/1,686,100 = 1,686,100/x
  3. Step 3: Cross multiply
    825,554x = 1,686,100 × 1,686,100
  4. Step 4: Simplify right side
    825,554x = 2,842,933,210,000
  5. Step 5: Solve for x
    x = 2,842,933,210,000/825,554
  6. Step 6: Final answer
    x = 3,443,667.17

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.