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Finding the Third Proportional to 21,170 and 47,352

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Solution

The third proportional to 21,170 and 47,352 is: 105,914.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,170 : 47,352 = 47,352 : x
  2. Step 2: Convert to fraction form
    21,170/47,352 = 47,352/x
  3. Step 3: Cross multiply
    21,170x = 47,352 × 47,352
  4. Step 4: Simplify right side
    21,170x = 2,242,211,904
  5. Step 5: Solve for x
    x = 2,242,211,904/21,170
  6. Step 6: Final answer
    x = 105,914.59

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.