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Finding the Third Proportional to 21,285 and 45,817.88

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Solution

The third proportional to 21,285 and 45,817.88 is: 98,627.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,285 : 45,817.88 = 45,817.88 : x
  2. Step 2: Convert to fraction form
    21,285/45,817.88 = 45,817.88/x
  3. Step 3: Cross multiply
    21,285x = 45,817.88 × 45,817.88
  4. Step 4: Simplify right side
    21,285x = 2,099,277,669.52
  5. Step 5: Solve for x
    x = 2,099,277,669.52/21,285
  6. Step 6: Final answer
    x = 98,627.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.