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Finding the Third Proportional to 668,270 and 1,440,868

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Solution

The third proportional to 668,270 and 1,440,868 is: 3,106,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,270 : 1,440,868 = 1,440,868 : x
  2. Step 2: Convert to fraction form
    668,270/1,440,868 = 1,440,868/x
  3. Step 3: Cross multiply
    668,270x = 1,440,868 × 1,440,868
  4. Step 4: Simplify right side
    668,270x = 2,076,100,593,424
  5. Step 5: Solve for x
    x = 2,076,100,593,424/668,270
  6. Step 6: Final answer
    x = 3,106,679.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.