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Finding the Third Proportional to 581,628 and 1,278,067

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Solution

The third proportional to 581,628 and 1,278,067 is: 2,808,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,628 : 1,278,067 = 1,278,067 : x
  2. Step 2: Convert to fraction form
    581,628/1,278,067 = 1,278,067/x
  3. Step 3: Cross multiply
    581,628x = 1,278,067 × 1,278,067
  4. Step 4: Simplify right side
    581,628x = 1,633,455,256,489
  5. Step 5: Solve for x
    x = 1,633,455,256,489/581,628
  6. Step 6: Final answer
    x = 2,808,419.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.