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Finding the Third Proportional to 30,879 and 47,107.13

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Solution

The third proportional to 30,879 and 47,107.13 is: 71,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,879 : 47,107.13 = 47,107.13 : x
  2. Step 2: Convert to fraction form
    30,879/47,107.13 = 47,107.13/x
  3. Step 3: Cross multiply
    30,879x = 47,107.13 × 47,107.13
  4. Step 4: Simplify right side
    30,879x = 2,219,081,225.77
  5. Step 5: Solve for x
    x = 2,219,081,225.77/30,879
  6. Step 6: Final answer
    x = 71,863.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.