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Finding the Third Proportional to 393,652 and 611,214

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Solution

The third proportional to 393,652 and 611,214 is: 949,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,652 : 611,214 = 611,214 : x
  2. Step 2: Convert to fraction form
    393,652/611,214 = 611,214/x
  3. Step 3: Cross multiply
    393,652x = 611,214 × 611,214
  4. Step 4: Simplify right side
    393,652x = 373,582,553,796
  5. Step 5: Solve for x
    x = 373,582,553,796/393,652
  6. Step 6: Final answer
    x = 949,017.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.