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Finding the Third Proportional to 871,769 and 1,320,692

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Solution

The third proportional to 871,769 and 1,320,692 is: 2,000,790.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,769 : 1,320,692 = 1,320,692 : x
  2. Step 2: Convert to fraction form
    871,769/1,320,692 = 1,320,692/x
  3. Step 3: Cross multiply
    871,769x = 1,320,692 × 1,320,692
  4. Step 4: Simplify right side
    871,769x = 1,744,227,358,864
  5. Step 5: Solve for x
    x = 1,744,227,358,864/871,769
  6. Step 6: Final answer
    x = 2,000,790.76

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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.