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Finding the Third Proportional to 21,712 and 31,956

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Solution

The third proportional to 21,712 and 31,956 is: 47,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,712 : 31,956 = 31,956 : x
  2. Step 2: Convert to fraction form
    21,712/31,956 = 31,956/x
  3. Step 3: Cross multiply
    21,712x = 31,956 × 31,956
  4. Step 4: Simplify right side
    21,712x = 1,021,185,936
  5. Step 5: Solve for x
    x = 1,021,185,936/21,712
  6. Step 6: Final answer
    x = 47,033.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.