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Finding the Third Proportional to 400,932 and 599,427

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Solution

The third proportional to 400,932 and 599,427 is: 896,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,932 : 599,427 = 599,427 : x
  2. Step 2: Convert to fraction form
    400,932/599,427 = 599,427/x
  3. Step 3: Cross multiply
    400,932x = 599,427 × 599,427
  4. Step 4: Simplify right side
    400,932x = 359,312,728,329
  5. Step 5: Solve for x
    x = 359,312,728,329/400,932
  6. Step 6: Final answer
    x = 896,193.69

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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.