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Finding the Third Proportional to 393,963 and 611,195

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Solution

The third proportional to 393,963 and 611,195 is: 948,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,963 : 611,195 = 611,195 : x
  2. Step 2: Convert to fraction form
    393,963/611,195 = 611,195/x
  3. Step 3: Cross multiply
    393,963x = 611,195 × 611,195
  4. Step 4: Simplify right side
    393,963x = 373,559,328,025
  5. Step 5: Solve for x
    x = 373,559,328,025/393,963
  6. Step 6: Final answer
    x = 948,209.17

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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.