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Finding the Third Proportional to 15,620 and 33,734.50

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Solution

The third proportional to 15,620 and 33,734.50 is: 72,856.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,620 : 33,734.50 = 33,734.50 : x
  2. Step 2: Convert to fraction form
    15,620/33,734.50 = 33,734.50/x
  3. Step 3: Cross multiply
    15,620x = 33,734.50 × 33,734.50
  4. Step 4: Simplify right side
    15,620x = 1,138,016,490.25
  5. Step 5: Solve for x
    x = 1,138,016,490.25/15,620
  6. Step 6: Final answer
    x = 72,856.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.