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Finding the Third Proportional to 448,302.94 and 967,450.50

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Solution

The third proportional to 448,302.94 and 967,450.50 is: 2,087,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,302.94 : 967,450.50 = 967,450.50 : x
  2. Step 2: Convert to fraction form
    448,302.94/967,450.50 = 967,450.50/x
  3. Step 3: Cross multiply
    448,302.94x = 967,450.50 × 967,450.50
  4. Step 4: Simplify right side
    448,302.94x = 935,960,469,950.25
  5. Step 5: Solve for x
    x = 935,960,469,950.25/448,302.94
  6. Step 6: Final answer
    x = 2,087,785.72

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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.