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Finding the Third Proportional to 279,486 and 606,240

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Solution

The third proportional to 279,486 and 606,240 is: 1,315,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,486 : 606,240 = 606,240 : x
  2. Step 2: Convert to fraction form
    279,486/606,240 = 606,240/x
  3. Step 3: Cross multiply
    279,486x = 606,240 × 606,240
  4. Step 4: Simplify right side
    279,486x = 367,526,937,600
  5. Step 5: Solve for x
    x = 367,526,937,600/279,486
  6. Step 6: Final answer
    x = 1,315,010.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.