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Finding the Third Proportional to 814,974 and 1,290,190.50

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Solution

The third proportional to 814,974 and 1,290,190.50 is: 2,042,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,974 : 1,290,190.50 = 1,290,190.50 : x
  2. Step 2: Convert to fraction form
    814,974/1,290,190.50 = 1,290,190.50/x
  3. Step 3: Cross multiply
    814,974x = 1,290,190.50 × 1,290,190.50
  4. Step 4: Simplify right side
    814,974x = 1,664,591,526,290.25
  5. Step 5: Solve for x
    x = 1,664,591,526,290.25/814,974
  6. Step 6: Final answer
    x = 2,042,508.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.