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Finding the Third Proportional to 21,276 and 30,453.75

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Solution

The third proportional to 21,276 and 30,453.75 is: 43,590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,276 : 30,453.75 = 30,453.75 : x
  2. Step 2: Convert to fraction form
    21,276/30,453.75 = 30,453.75/x
  3. Step 3: Cross multiply
    21,276x = 30,453.75 × 30,453.75
  4. Step 4: Simplify right side
    21,276x = 927,430,889.06
  5. Step 5: Solve for x
    x = 927,430,889.06/21,276
  6. Step 6: Final answer
    x = 43,590.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.