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Finding the Third Proportional to 21,840.75 and 47,251.69

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Solution

The third proportional to 21,840.75 and 47,251.69 is: 102,227.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,840.75 : 47,251.69 = 47,251.69 : x
  2. Step 2: Convert to fraction form
    21,840.75/47,251.69 = 47,251.69/x
  3. Step 3: Cross multiply
    21,840.75x = 47,251.69 × 47,251.69
  4. Step 4: Simplify right side
    21,840.75x = 2,232,721,971.60
  5. Step 5: Solve for x
    x = 2,232,721,971.60/21,840.75
  6. Step 6: Final answer
    x = 102,227.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.