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Finding the Third Proportional to 30,229 and 65,812

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Solution

The third proportional to 30,229 and 65,812 is: 143,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,229 : 65,812 = 65,812 : x
  2. Step 2: Convert to fraction form
    30,229/65,812 = 65,812/x
  3. Step 3: Cross multiply
    30,229x = 65,812 × 65,812
  4. Step 4: Simplify right side
    30,229x = 4,331,219,344
  5. Step 5: Solve for x
    x = 4,331,219,344/30,229
  6. Step 6: Final answer
    x = 143,280.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.