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Finding the Third Proportional to 30,539 and 65,695

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Solution

The third proportional to 30,539 and 65,695 is: 141,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539 : 65,695 = 65,695 : x
  2. Step 2: Convert to fraction form
    30,539/65,695 = 65,695/x
  3. Step 3: Cross multiply
    30,539x = 65,695 × 65,695
  4. Step 4: Simplify right side
    30,539x = 4,315,833,025
  5. Step 5: Solve for x
    x = 4,315,833,025/30,539
  6. Step 6: Final answer
    x = 141,322.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.