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Finding the Third Proportional to 301,603.50 and 628,011

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Solution

The third proportional to 301,603.50 and 628,011 is: 1,307,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,603.50 : 628,011 = 628,011 : x
  2. Step 2: Convert to fraction form
    301,603.50/628,011 = 628,011/x
  3. Step 3: Cross multiply
    301,603.50x = 628,011 × 628,011
  4. Step 4: Simplify right side
    301,603.50x = 394,397,816,121
  5. Step 5: Solve for x
    x = 394,397,816,121/301,603.50
  6. Step 6: Final answer
    x = 1,307,669.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.