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Finding the Third Proportional to 398,812 and 612,998

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Solution

The third proportional to 398,812 and 612,998 is: 942,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,812 : 612,998 = 612,998 : x
  2. Step 2: Convert to fraction form
    398,812/612,998 = 612,998/x
  3. Step 3: Cross multiply
    398,812x = 612,998 × 612,998
  4. Step 4: Simplify right side
    398,812x = 375,766,548,004
  5. Step 5: Solve for x
    x = 375,766,548,004/398,812
  6. Step 6: Final answer
    x = 942,214.75

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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.