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Finding the Third Proportional to 697,420 and 1,077,675

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Solution

The third proportional to 697,420 and 1,077,675 is: 1,665,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,420 : 1,077,675 = 1,077,675 : x
  2. Step 2: Convert to fraction form
    697,420/1,077,675 = 1,077,675/x
  3. Step 3: Cross multiply
    697,420x = 1,077,675 × 1,077,675
  4. Step 4: Simplify right side
    697,420x = 1,161,383,405,625
  5. Step 5: Solve for x
    x = 1,161,383,405,625/697,420
  6. Step 6: Final answer
    x = 1,665,256.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.