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Finding the Third Proportional to 265,977 and 408,807

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Solution

The third proportional to 265,977 and 408,807 is: 628,336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,977 : 408,807 = 408,807 : x
  2. Step 2: Convert to fraction form
    265,977/408,807 = 408,807/x
  3. Step 3: Cross multiply
    265,977x = 408,807 × 408,807
  4. Step 4: Simplify right side
    265,977x = 167,123,163,249
  5. Step 5: Solve for x
    x = 167,123,163,249/265,977
  6. Step 6: Final answer
    x = 628,336.90

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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.