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Finding the Third Proportional to 299,042 and 445,971

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Solution

The third proportional to 299,042 and 445,971 is: 665,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,042 : 445,971 = 445,971 : x
  2. Step 2: Convert to fraction form
    299,042/445,971 = 445,971/x
  3. Step 3: Cross multiply
    299,042x = 445,971 × 445,971
  4. Step 4: Simplify right side
    299,042x = 198,890,132,841
  5. Step 5: Solve for x
    x = 198,890,132,841/299,042
  6. Step 6: Final answer
    x = 665,090.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.