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Finding the Third Proportional to 21,062 and 31,647

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Solution

The third proportional to 21,062 and 31,647 is: 47,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,062 : 31,647 = 31,647 : x
  2. Step 2: Convert to fraction form
    21,062/31,647 = 31,647/x
  3. Step 3: Cross multiply
    21,062x = 31,647 × 31,647
  4. Step 4: Simplify right side
    21,062x = 1,001,532,609
  5. Step 5: Solve for x
    x = 1,001,532,609/21,062
  6. Step 6: Final answer
    x = 47,551.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.