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Finding the Third Proportional to 813,591 and 1,203,781.50

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Solution

The third proportional to 813,591 and 1,203,781.50 is: 1,781,103.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,591 : 1,203,781.50 = 1,203,781.50 : x
  2. Step 2: Convert to fraction form
    813,591/1,203,781.50 = 1,203,781.50/x
  3. Step 3: Cross multiply
    813,591x = 1,203,781.50 × 1,203,781.50
  4. Step 4: Simplify right side
    813,591x = 1,449,089,899,742.25
  5. Step 5: Solve for x
    x = 1,449,089,899,742.25/813,591
  6. Step 6: Final answer
    x = 1,781,103.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.