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Finding the Third Proportional to 289,914.50 and 587,984.63

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Solution

The third proportional to 289,914.50 and 587,984.63 is: 1,192,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,914.50 : 587,984.63 = 587,984.63 : x
  2. Step 2: Convert to fraction form
    289,914.50/587,984.63 = 587,984.63/x
  3. Step 3: Cross multiply
    289,914.50x = 587,984.63 × 587,984.63
  4. Step 4: Simplify right side
    289,914.50x = 345,725,919,236.39
  5. Step 5: Solve for x
    x = 345,725,919,236.39/289,914.50
  6. Step 6: Final answer
    x = 1,192,509.93

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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.