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Finding the Third Proportional to 398,786 and 612,963

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Solution

The third proportional to 398,786 and 612,963 is: 942,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,786 : 612,963 = 612,963 : x
  2. Step 2: Convert to fraction form
    398,786/612,963 = 612,963/x
  3. Step 3: Cross multiply
    398,786x = 612,963 × 612,963
  4. Step 4: Simplify right side
    398,786x = 375,723,639,369
  5. Step 5: Solve for x
    x = 375,723,639,369/398,786
  6. Step 6: Final answer
    x = 942,168.58

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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.