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Finding the Third Proportional to 273,640 and 411,260

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Solution

The third proportional to 273,640 and 411,260 is: 618,092.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,640 : 411,260 = 411,260 : x
  2. Step 2: Convert to fraction form
    273,640/411,260 = 411,260/x
  3. Step 3: Cross multiply
    273,640x = 411,260 × 411,260
  4. Step 4: Simplify right side
    273,640x = 169,134,787,600
  5. Step 5: Solve for x
    x = 169,134,787,600/273,640
  6. Step 6: Final answer
    x = 618,092.34

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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.