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Finding the Third Proportional to 10,694.63 and 25,764.56

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Solution

The third proportional to 10,694.63 and 25,764.56 is: 62,069.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.63 : 25,764.56 = 25,764.56 : x
  2. Step 2: Convert to fraction form
    10,694.63/25,764.56 = 25,764.56/x
  3. Step 3: Cross multiply
    10,694.63x = 25,764.56 × 25,764.56
  4. Step 4: Simplify right side
    10,694.63x = 663,812,680.82
  5. Step 5: Solve for x
    x = 663,812,680.82/10,694.63
  6. Step 6: Final answer
    x = 62,069.75

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.