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Finding the Third Proportional to 448,583.50 and 666,395

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Solution

The third proportional to 448,583.50 and 666,395 is: 989,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,583.50 : 666,395 = 666,395 : x
  2. Step 2: Convert to fraction form
    448,583.50/666,395 = 666,395/x
  3. Step 3: Cross multiply
    448,583.50x = 666,395 × 666,395
  4. Step 4: Simplify right side
    448,583.50x = 444,082,296,025
  5. Step 5: Solve for x
    x = 444,082,296,025/448,583.50
  6. Step 6: Final answer
    x = 989,965.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.