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Finding the Third Proportional to 393,646 and 611,205

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Solution

The third proportional to 393,646 and 611,205 is: 949,003.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,646 : 611,205 = 611,205 : x
  2. Step 2: Convert to fraction form
    393,646/611,205 = 611,205/x
  3. Step 3: Cross multiply
    393,646x = 611,205 × 611,205
  4. Step 4: Simplify right side
    393,646x = 373,571,552,025
  5. Step 5: Solve for x
    x = 373,571,552,025/393,646
  6. Step 6: Final answer
    x = 949,003.81

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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.