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Finding the Third Proportional to 265,977 and 398,961

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Solution

The third proportional to 265,977 and 398,961 is: 598,434.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,977 : 398,961 = 398,961 : x
  2. Step 2: Convert to fraction form
    265,977/398,961 = 398,961/x
  3. Step 3: Cross multiply
    265,977x = 398,961 × 398,961
  4. Step 4: Simplify right side
    265,977x = 159,169,879,521
  5. Step 5: Solve for x
    x = 159,169,879,521/265,977
  6. Step 6: Final answer
    x = 598,434.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.