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Finding the Third Proportional to 398,612 and 605,298

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Solution

The third proportional to 398,612 and 605,298 is: 919,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,612 : 605,298 = 605,298 : x
  2. Step 2: Convert to fraction form
    398,612/605,298 = 605,298/x
  3. Step 3: Cross multiply
    398,612x = 605,298 × 605,298
  4. Step 4: Simplify right side
    398,612x = 366,385,668,804
  5. Step 5: Solve for x
    x = 366,385,668,804/398,612
  6. Step 6: Final answer
    x = 919,153.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.