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Finding the Third Proportional to 448,591 and 666,405

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Solution

The third proportional to 448,591 and 666,405 is: 989,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,591 : 666,405 = 666,405 : x
  2. Step 2: Convert to fraction form
    448,591/666,405 = 666,405/x
  3. Step 3: Cross multiply
    448,591x = 666,405 × 666,405
  4. Step 4: Simplify right side
    448,591x = 444,095,624,025
  5. Step 5: Solve for x
    x = 444,095,624,025/448,591
  6. Step 6: Final answer
    x = 989,978.90

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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.