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Finding the Third Proportional to 204,623 and 477,807

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Solution

The third proportional to 204,623 and 477,807 is: 1,115,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,623 : 477,807 = 477,807 : x
  2. Step 2: Convert to fraction form
    204,623/477,807 = 477,807/x
  3. Step 3: Cross multiply
    204,623x = 477,807 × 477,807
  4. Step 4: Simplify right side
    204,623x = 228,299,529,249
  5. Step 5: Solve for x
    x = 228,299,529,249/204,623
  6. Step 6: Final answer
    x = 1,115,708.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.