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Finding the Third Proportional to 299,211 and 645,978

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Solution

The third proportional to 299,211 and 645,978 is: 1,394,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,211 : 645,978 = 645,978 : x
  2. Step 2: Convert to fraction form
    299,211/645,978 = 645,978/x
  3. Step 3: Cross multiply
    299,211x = 645,978 × 645,978
  4. Step 4: Simplify right side
    299,211x = 417,287,576,484
  5. Step 5: Solve for x
    x = 417,287,576,484/299,211
  6. Step 6: Final answer
    x = 1,394,626.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.