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Finding the Third Proportional to 331,554 and 509,916

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Solution

The third proportional to 331,554 and 509,916 is: 784,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,554 : 509,916 = 509,916 : x
  2. Step 2: Convert to fraction form
    331,554/509,916 = 509,916/x
  3. Step 3: Cross multiply
    331,554x = 509,916 × 509,916
  4. Step 4: Simplify right side
    331,554x = 260,014,327,056
  5. Step 5: Solve for x
    x = 260,014,327,056/331,554
  6. Step 6: Final answer
    x = 784,229.20

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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.