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Finding the Third Proportional to 30,497 and 65,221

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Solution

The third proportional to 30,497 and 65,221 is: 139,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497 : 65,221 = 65,221 : x
  2. Step 2: Convert to fraction form
    30,497/65,221 = 65,221/x
  3. Step 3: Cross multiply
    30,497x = 65,221 × 65,221
  4. Step 4: Simplify right side
    30,497x = 4,253,778,841
  5. Step 5: Solve for x
    x = 4,253,778,841/30,497
  6. Step 6: Final answer
    x = 139,481.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.