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Finding the Third Proportional to 1,025,450 and 1,591,920

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Solution

The third proportional to 1,025,450 and 1,591,920 is: 2,471,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025,450 : 1,591,920 = 1,591,920 : x
  2. Step 2: Convert to fraction form
    1,025,450/1,591,920 = 1,591,920/x
  3. Step 3: Cross multiply
    1,025,450x = 1,591,920 × 1,591,920
  4. Step 4: Simplify right side
    1,025,450x = 2,534,209,286,400
  5. Step 5: Solve for x
    x = 2,534,209,286,400/1,025,450
  6. Step 6: Final answer
    x = 2,471,314.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.