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Finding the Third Proportional to 30,221 and 65,463

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Solution

The third proportional to 30,221 and 65,463 is: 141,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221 : 65,463 = 65,463 : x
  2. Step 2: Convert to fraction form
    30,221/65,463 = 65,463/x
  3. Step 3: Cross multiply
    30,221x = 65,463 × 65,463
  4. Step 4: Simplify right side
    30,221x = 4,285,404,369
  5. Step 5: Solve for x
    x = 4,285,404,369/30,221
  6. Step 6: Final answer
    x = 141,802.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.