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Finding the Third Proportional to 21,102 and 30,159

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Solution

The third proportional to 21,102 and 30,159 is: 43,103.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102 : 30,159 = 30,159 : x
  2. Step 2: Convert to fraction form
    21,102/30,159 = 30,159/x
  3. Step 3: Cross multiply
    21,102x = 30,159 × 30,159
  4. Step 4: Simplify right side
    21,102x = 909,565,281
  5. Step 5: Solve for x
    x = 909,565,281/21,102
  6. Step 6: Final answer
    x = 43,103.27

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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.