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Finding the Third Proportional to 871,419.75 and 1,320,170.75

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Solution

The third proportional to 871,419.75 and 1,320,170.75 is: 2,000,012.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,419.75 : 1,320,170.75 = 1,320,170.75 : x
  2. Step 2: Convert to fraction form
    871,419.75/1,320,170.75 = 1,320,170.75/x
  3. Step 3: Cross multiply
    871,419.75x = 1,320,170.75 × 1,320,170.75
  4. Step 4: Simplify right side
    871,419.75x = 1,742,850,809,155.56
  5. Step 5: Solve for x
    x = 1,742,850,809,155.56/871,419.75
  6. Step 6: Final answer
    x = 2,000,012.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.