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Finding the Third Proportional to 273,912 and 411,516

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Solution

The third proportional to 273,912 and 411,516 is: 618,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,912 : 411,516 = 411,516 : x
  2. Step 2: Convert to fraction form
    273,912/411,516 = 411,516/x
  3. Step 3: Cross multiply
    273,912x = 411,516 × 411,516
  4. Step 4: Simplify right side
    273,912x = 169,345,418,256
  5. Step 5: Solve for x
    x = 169,345,418,256/273,912
  6. Step 6: Final answer
    x = 618,247.53

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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.