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Finding the Third Proportional to 47,630 and 71,877

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Solution

The third proportional to 47,630 and 71,877 is: 108,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,630 : 71,877 = 71,877 : x
  2. Step 2: Convert to fraction form
    47,630/71,877 = 71,877/x
  3. Step 3: Cross multiply
    47,630x = 71,877 × 71,877
  4. Step 4: Simplify right side
    47,630x = 5,166,303,129
  5. Step 5: Solve for x
    x = 5,166,303,129/47,630
  6. Step 6: Final answer
    x = 108,467.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.