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Finding the Third Proportional to 259,022 and 400,035

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Solution

The third proportional to 259,022 and 400,035 is: 617,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,022 : 400,035 = 400,035 : x
  2. Step 2: Convert to fraction form
    259,022/400,035 = 400,035/x
  3. Step 3: Cross multiply
    259,022x = 400,035 × 400,035
  4. Step 4: Simplify right side
    259,022x = 160,028,001,225
  5. Step 5: Solve for x
    x = 160,028,001,225/259,022
  6. Step 6: Final answer
    x = 617,816.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.