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Finding the Third Proportional to 289,917.75 and 587,625

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Solution

The third proportional to 289,917.75 and 587,625 is: 1,191,038.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,917.75 : 587,625 = 587,625 : x
  2. Step 2: Convert to fraction form
    289,917.75/587,625 = 587,625/x
  3. Step 3: Cross multiply
    289,917.75x = 587,625 × 587,625
  4. Step 4: Simplify right side
    289,917.75x = 345,303,140,625
  5. Step 5: Solve for x
    x = 345,303,140,625/289,917.75
  6. Step 6: Final answer
    x = 1,191,038.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.