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Finding the Third Proportional to 447,322 and 664,908

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Solution

The third proportional to 447,322 and 664,908 is: 988,332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,322 : 664,908 = 664,908 : x
  2. Step 2: Convert to fraction form
    447,322/664,908 = 664,908/x
  3. Step 3: Cross multiply
    447,322x = 664,908 × 664,908
  4. Step 4: Simplify right side
    447,322x = 442,102,648,464
  5. Step 5: Solve for x
    x = 442,102,648,464/447,322
  6. Step 6: Final answer
    x = 988,332.00

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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.