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Finding the Third Proportional to 398,814 and 613,001

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Solution

The third proportional to 398,814 and 613,001 is: 942,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,814 : 613,001 = 613,001 : x
  2. Step 2: Convert to fraction form
    398,814/613,001 = 613,001/x
  3. Step 3: Cross multiply
    398,814x = 613,001 × 613,001
  4. Step 4: Simplify right side
    398,814x = 375,770,226,001
  5. Step 5: Solve for x
    x = 375,770,226,001/398,814
  6. Step 6: Final answer
    x = 942,219.25

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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.