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Finding the Third Proportional to 871,920 and 1,330,481

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Solution

The third proportional to 871,920 and 1,330,481 is: 2,030,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,920 : 1,330,481 = 1,330,481 : x
  2. Step 2: Convert to fraction form
    871,920/1,330,481 = 1,330,481/x
  3. Step 3: Cross multiply
    871,920x = 1,330,481 × 1,330,481
  4. Step 4: Simplify right side
    871,920x = 1,770,179,691,361
  5. Step 5: Solve for x
    x = 1,770,179,691,361/871,920
  6. Step 6: Final answer
    x = 2,030,208.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.