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Finding the Third Proportional to 698,361 and 1,115,802

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Solution

The third proportional to 698,361 and 1,115,802 is: 1,782,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,361 : 1,115,802 = 1,115,802 : x
  2. Step 2: Convert to fraction form
    698,361/1,115,802 = 1,115,802/x
  3. Step 3: Cross multiply
    698,361x = 1,115,802 × 1,115,802
  4. Step 4: Simplify right side
    698,361x = 1,245,014,103,204
  5. Step 5: Solve for x
    x = 1,245,014,103,204/698,361
  6. Step 6: Final answer
    x = 1,782,765.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.