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Finding the Third Proportional to 379,808 and 587,907

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Solution

The third proportional to 379,808 and 587,907 is: 910,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,808 : 587,907 = 587,907 : x
  2. Step 2: Convert to fraction form
    379,808/587,907 = 587,907/x
  3. Step 3: Cross multiply
    379,808x = 587,907 × 587,907
  4. Step 4: Simplify right side
    379,808x = 345,634,640,649
  5. Step 5: Solve for x
    x = 345,634,640,649/379,808
  6. Step 6: Final answer
    x = 910,024.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.