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Finding the Third Proportional to 622,885 and 817,900

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Solution

The third proportional to 622,885 and 817,900 is: 1,073,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,885 : 817,900 = 817,900 : x
  2. Step 2: Convert to fraction form
    622,885/817,900 = 817,900/x
  3. Step 3: Cross multiply
    622,885x = 817,900 × 817,900
  4. Step 4: Simplify right side
    622,885x = 668,960,410,000
  5. Step 5: Solve for x
    x = 668,960,410,000/622,885
  6. Step 6: Final answer
    x = 1,073,970.97

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.