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Finding the Third Proportional to 283,820 and 436,378

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Solution

The third proportional to 283,820 and 436,378 is: 670,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,820 : 436,378 = 436,378 : x
  2. Step 2: Convert to fraction form
    283,820/436,378 = 436,378/x
  3. Step 3: Cross multiply
    283,820x = 436,378 × 436,378
  4. Step 4: Simplify right side
    283,820x = 190,425,758,884
  5. Step 5: Solve for x
    x = 190,425,758,884/283,820
  6. Step 6: Final answer
    x = 670,938.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.