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Finding the Third Proportional to 301,005 and 440,709.75

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Solution

The third proportional to 301,005 and 440,709.75 is: 645,255.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,005 : 440,709.75 = 440,709.75 : x
  2. Step 2: Convert to fraction form
    301,005/440,709.75 = 440,709.75/x
  3. Step 3: Cross multiply
    301,005x = 440,709.75 × 440,709.75
  4. Step 4: Simplify right side
    301,005x = 194,225,083,745.06
  5. Step 5: Solve for x
    x = 194,225,083,745.06/301,005
  6. Step 6: Final answer
    x = 645,255.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.