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Finding the Third Proportional to 181,170 and 299,430

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Solution

The third proportional to 181,170 and 299,430 is: 494,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,170 : 299,430 = 299,430 : x
  2. Step 2: Convert to fraction form
    181,170/299,430 = 299,430/x
  3. Step 3: Cross multiply
    181,170x = 299,430 × 299,430
  4. Step 4: Simplify right side
    181,170x = 89,658,324,900
  5. Step 5: Solve for x
    x = 89,658,324,900/181,170
  6. Step 6: Final answer
    x = 494,885.05

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.