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Finding the Third Proportional to 21,538 and 45,633

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Solution

The third proportional to 21,538 and 45,633 is: 96,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538 : 45,633 = 45,633 : x
  2. Step 2: Convert to fraction form
    21,538/45,633 = 45,633/x
  3. Step 3: Cross multiply
    21,538x = 45,633 × 45,633
  4. Step 4: Simplify right side
    21,538x = 2,082,370,689
  5. Step 5: Solve for x
    x = 2,082,370,689/21,538
  6. Step 6: Final answer
    x = 96,683.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.