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Finding the Third Proportional to 809,442 and 1,169,413

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Solution

The third proportional to 809,442 and 1,169,413 is: 1,689,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,442 : 1,169,413 = 1,169,413 : x
  2. Step 2: Convert to fraction form
    809,442/1,169,413 = 1,169,413/x
  3. Step 3: Cross multiply
    809,442x = 1,169,413 × 1,169,413
  4. Step 4: Simplify right side
    809,442x = 1,367,526,764,569
  5. Step 5: Solve for x
    x = 1,367,526,764,569/809,442
  6. Step 6: Final answer
    x = 1,689,468.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.