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Finding the Third Proportional to 289,768.50 and 611,001

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Solution

The third proportional to 289,768.50 and 611,001 is: 1,288,346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,768.50 : 611,001 = 611,001 : x
  2. Step 2: Convert to fraction form
    289,768.50/611,001 = 611,001/x
  3. Step 3: Cross multiply
    289,768.50x = 611,001 × 611,001
  4. Step 4: Simplify right side
    289,768.50x = 373,322,222,001
  5. Step 5: Solve for x
    x = 373,322,222,001/289,768.50
  6. Step 6: Final answer
    x = 1,288,346.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.