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Finding the Third Proportional to 30,874 and 43,716

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Solution

The third proportional to 30,874 and 43,716 is: 61,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874 : 43,716 = 43,716 : x
  2. Step 2: Convert to fraction form
    30,874/43,716 = 43,716/x
  3. Step 3: Cross multiply
    30,874x = 43,716 × 43,716
  4. Step 4: Simplify right side
    30,874x = 1,911,088,656
  5. Step 5: Solve for x
    x = 1,911,088,656/30,874
  6. Step 6: Final answer
    x = 61,899.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.