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Finding the Third Proportional to 752,132 and 1,609,236

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Solution

The third proportional to 752,132 and 1,609,236 is: 3,443,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,132 : 1,609,236 = 1,609,236 : x
  2. Step 2: Convert to fraction form
    752,132/1,609,236 = 1,609,236/x
  3. Step 3: Cross multiply
    752,132x = 1,609,236 × 1,609,236
  4. Step 4: Simplify right side
    752,132x = 2,589,640,503,696
  5. Step 5: Solve for x
    x = 2,589,640,503,696/752,132
  6. Step 6: Final answer
    x = 3,443,066.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.