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Finding the Third Proportional to 30,672 and 41,221

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Solution

The third proportional to 30,672 and 41,221 is: 55,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672 : 41,221 = 41,221 : x
  2. Step 2: Convert to fraction form
    30,672/41,221 = 41,221/x
  3. Step 3: Cross multiply
    30,672x = 41,221 × 41,221
  4. Step 4: Simplify right side
    30,672x = 1,699,170,841
  5. Step 5: Solve for x
    x = 1,699,170,841/30,672
  6. Step 6: Final answer
    x = 55,398.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.