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Finding the Third Proportional to 21,129 and 32,479.75

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Solution

The third proportional to 21,129 and 32,479.75 is: 49,928.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129 : 32,479.75 = 32,479.75 : x
  2. Step 2: Convert to fraction form
    21,129/32,479.75 = 32,479.75/x
  3. Step 3: Cross multiply
    21,129x = 32,479.75 × 32,479.75
  4. Step 4: Simplify right side
    21,129x = 1,054,934,160.06
  5. Step 5: Solve for x
    x = 1,054,934,160.06/21,129
  6. Step 6: Final answer
    x = 49,928.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.