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Finding the Third Proportional to 618,728 and 1,310,668

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Solution

The third proportional to 618,728 and 1,310,668 is: 2,776,422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,728 : 1,310,668 = 1,310,668 : x
  2. Step 2: Convert to fraction form
    618,728/1,310,668 = 1,310,668/x
  3. Step 3: Cross multiply
    618,728x = 1,310,668 × 1,310,668
  4. Step 4: Simplify right side
    618,728x = 1,717,850,606,224
  5. Step 5: Solve for x
    x = 1,717,850,606,224/618,728
  6. Step 6: Final answer
    x = 2,776,422.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.