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Finding the Third Proportional to 21,935 and 33,098.50

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Solution

The third proportional to 21,935 and 33,098.50 is: 49,943.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,935 : 33,098.50 = 33,098.50 : x
  2. Step 2: Convert to fraction form
    21,935/33,098.50 = 33,098.50/x
  3. Step 3: Cross multiply
    21,935x = 33,098.50 × 33,098.50
  4. Step 4: Simplify right side
    21,935x = 1,095,510,702.25
  5. Step 5: Solve for x
    x = 1,095,510,702.25/21,935
  6. Step 6: Final answer
    x = 49,943.50

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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.