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Finding the Third Proportional to 148,660 and 211,918

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Solution

The third proportional to 148,660 and 211,918 is: 302,093.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,660 : 211,918 = 211,918 : x
  2. Step 2: Convert to fraction form
    148,660/211,918 = 211,918/x
  3. Step 3: Cross multiply
    148,660x = 211,918 × 211,918
  4. Step 4: Simplify right side
    148,660x = 44,909,238,724
  5. Step 5: Solve for x
    x = 44,909,238,724/148,660
  6. Step 6: Final answer
    x = 302,093.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.