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Finding the Third Proportional to 20,985 and 31,679.63

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Solution

The third proportional to 20,985 and 31,679.63 is: 47,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,985 : 31,679.63 = 31,679.63 : x
  2. Step 2: Convert to fraction form
    20,985/31,679.63 = 31,679.63/x
  3. Step 3: Cross multiply
    20,985x = 31,679.63 × 31,679.63
  4. Step 4: Simplify right side
    20,985x = 1,003,598,640.14
  5. Step 5: Solve for x
    x = 1,003,598,640.14/20,985
  6. Step 6: Final answer
    x = 47,824.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.