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Finding the Third Proportional to 447,156 and 664,658

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Solution

The third proportional to 447,156 and 664,658 is: 987,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,156 : 664,658 = 664,658 : x
  2. Step 2: Convert to fraction form
    447,156/664,658 = 664,658/x
  3. Step 3: Cross multiply
    447,156x = 664,658 × 664,658
  4. Step 4: Simplify right side
    447,156x = 441,770,256,964
  5. Step 5: Solve for x
    x = 441,770,256,964/447,156
  6. Step 6: Final answer
    x = 987,955.56

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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.