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Finding the Third Proportional to 273,608 and 590,940

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Solution

The third proportional to 273,608 and 590,940 is: 1,276,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,608 : 590,940 = 590,940 : x
  2. Step 2: Convert to fraction form
    273,608/590,940 = 590,940/x
  3. Step 3: Cross multiply
    273,608x = 590,940 × 590,940
  4. Step 4: Simplify right side
    273,608x = 349,210,083,600
  5. Step 5: Solve for x
    x = 349,210,083,600/273,608
  6. Step 6: Final answer
    x = 1,276,315.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.