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Finding the Third Proportional to 618,170 and 1,302,759

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Solution

The third proportional to 618,170 and 1,302,759 is: 2,745,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,170 : 1,302,759 = 1,302,759 : x
  2. Step 2: Convert to fraction form
    618,170/1,302,759 = 1,302,759/x
  3. Step 3: Cross multiply
    618,170x = 1,302,759 × 1,302,759
  4. Step 4: Simplify right side
    618,170x = 1,697,181,012,081
  5. Step 5: Solve for x
    x = 1,697,181,012,081/618,170
  6. Step 6: Final answer
    x = 2,745,492.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.