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Finding the Third Proportional to 400,660 and 599,718

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Solution

The third proportional to 400,660 and 599,718 is: 897,673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,660 : 599,718 = 599,718 : x
  2. Step 2: Convert to fraction form
    400,660/599,718 = 599,718/x
  3. Step 3: Cross multiply
    400,660x = 599,718 × 599,718
  4. Step 4: Simplify right side
    400,660x = 359,661,679,524
  5. Step 5: Solve for x
    x = 359,661,679,524/400,660
  6. Step 6: Final answer
    x = 897,673.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.