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Finding the Third Proportional to 447,206 and 664,724

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Solution

The third proportional to 447,206 and 664,724 is: 988,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,206 : 664,724 = 664,724 : x
  2. Step 2: Convert to fraction form
    447,206/664,724 = 664,724/x
  3. Step 3: Cross multiply
    447,206x = 664,724 × 664,724
  4. Step 4: Simplify right side
    447,206x = 441,857,996,176
  5. Step 5: Solve for x
    x = 441,857,996,176/447,206
  6. Step 6: Final answer
    x = 988,041.30

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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.