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Finding the Third Proportional to 74,911 and 161,819

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Solution

The third proportional to 74,911 and 161,819 is: 349,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,911 : 161,819 = 161,819 : x
  2. Step 2: Convert to fraction form
    74,911/161,819 = 161,819/x
  3. Step 3: Cross multiply
    74,911x = 161,819 × 161,819
  4. Step 4: Simplify right side
    74,911x = 26,185,388,761
  5. Step 5: Solve for x
    x = 26,185,388,761/74,911
  6. Step 6: Final answer
    x = 349,553.32

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Why These Related Problems?

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