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Finding the Third Proportional to 265,992 and 399,636

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Solution

The third proportional to 265,992 and 399,636 is: 600,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,992 : 399,636 = 399,636 : x
  2. Step 2: Convert to fraction form
    265,992/399,636 = 399,636/x
  3. Step 3: Cross multiply
    265,992x = 399,636 × 399,636
  4. Step 4: Simplify right side
    265,992x = 159,708,932,496
  5. Step 5: Solve for x
    x = 159,708,932,496/265,992
  6. Step 6: Final answer
    x = 600,427.58

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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.