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Finding the Third Proportional to 289,980 and 698,544

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Solution

The third proportional to 289,980 and 698,544 is: 1,682,749.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,980 : 698,544 = 698,544 : x
  2. Step 2: Convert to fraction form
    289,980/698,544 = 698,544/x
  3. Step 3: Cross multiply
    289,980x = 698,544 × 698,544
  4. Step 4: Simplify right side
    289,980x = 487,963,719,936
  5. Step 5: Solve for x
    x = 487,963,719,936/289,980
  6. Step 6: Final answer
    x = 1,682,749.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.