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Finding the Third Proportional to 30,217 and 65,455

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Solution

The third proportional to 30,217 and 65,455 is: 141,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,217 : 65,455 = 65,455 : x
  2. Step 2: Convert to fraction form
    30,217/65,455 = 65,455/x
  3. Step 3: Cross multiply
    30,217x = 65,455 × 65,455
  4. Step 4: Simplify right side
    30,217x = 4,284,357,025
  5. Step 5: Solve for x
    x = 4,284,357,025/30,217
  6. Step 6: Final answer
    x = 141,786.31

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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.