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Finding the Third Proportional to 141,970 and 218,212

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Solution

The third proportional to 141,970 and 218,212 is: 335,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,970 : 218,212 = 218,212 : x
  2. Step 2: Convert to fraction form
    141,970/218,212 = 218,212/x
  3. Step 3: Cross multiply
    141,970x = 218,212 × 218,212
  4. Step 4: Simplify right side
    141,970x = 47,616,476,944
  5. Step 5: Solve for x
    x = 47,616,476,944/141,970
  6. Step 6: Final answer
    x = 335,398.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.