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Finding the Third Proportional to 301,776 and 628,337

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Solution

The third proportional to 301,776 and 628,337 is: 1,308,279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,776 : 628,337 = 628,337 : x
  2. Step 2: Convert to fraction form
    301,776/628,337 = 628,337/x
  3. Step 3: Cross multiply
    301,776x = 628,337 × 628,337
  4. Step 4: Simplify right side
    301,776x = 394,807,385,569
  5. Step 5: Solve for x
    x = 394,807,385,569/301,776
  6. Step 6: Final answer
    x = 1,308,279.60

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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.