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Finding the Third Proportional to 377,430 and 579,249

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Solution

The third proportional to 377,430 and 579,249 is: 888,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,430 : 579,249 = 579,249 : x
  2. Step 2: Convert to fraction form
    377,430/579,249 = 579,249/x
  3. Step 3: Cross multiply
    377,430x = 579,249 × 579,249
  4. Step 4: Simplify right side
    377,430x = 335,529,404,001
  5. Step 5: Solve for x
    x = 335,529,404,001/377,430
  6. Step 6: Final answer
    x = 888,984.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.