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Finding the Third Proportional to 448,861.50 and 960,771.38

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Solution

The third proportional to 448,861.50 and 960,771.38 is: 2,056,495.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,861.50 : 960,771.38 = 960,771.38 : x
  2. Step 2: Convert to fraction form
    448,861.50/960,771.38 = 960,771.38/x
  3. Step 3: Cross multiply
    448,861.50x = 960,771.38 × 960,771.38
  4. Step 4: Simplify right side
    448,861.50x = 923,081,635,019.39
  5. Step 5: Solve for x
    x = 923,081,635,019.39/448,861.50
  6. Step 6: Final answer
    x = 2,056,495.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.