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Finding the Third Proportional to 21,429.50 and 47,827

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Solution

The third proportional to 21,429.50 and 47,827 is: 106,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,429.50 : 47,827 = 47,827 : x
  2. Step 2: Convert to fraction form
    21,429.50/47,827 = 47,827/x
  3. Step 3: Cross multiply
    21,429.50x = 47,827 × 47,827
  4. Step 4: Simplify right side
    21,429.50x = 2,287,421,929
  5. Step 5: Solve for x
    x = 2,287,421,929/21,429.50
  6. Step 6: Final answer
    x = 106,741.73

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.