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Finding the Third Proportional to 436,816 and 670,484

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Solution

The third proportional to 436,816 and 670,484 is: 1,029,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,816 : 670,484 = 670,484 : x
  2. Step 2: Convert to fraction form
    436,816/670,484 = 670,484/x
  3. Step 3: Cross multiply
    436,816x = 670,484 × 670,484
  4. Step 4: Simplify right side
    436,816x = 449,548,794,256
  5. Step 5: Solve for x
    x = 449,548,794,256/436,816
  6. Step 6: Final answer
    x = 1,029,149.10

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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.