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Finding the Third Proportional to 451,595 and 664,918

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Solution

The third proportional to 451,595 and 664,918 is: 979,009.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,595 : 664,918 = 664,918 : x
  2. Step 2: Convert to fraction form
    451,595/664,918 = 664,918/x
  3. Step 3: Cross multiply
    451,595x = 664,918 × 664,918
  4. Step 4: Simplify right side
    451,595x = 442,115,946,724
  5. Step 5: Solve for x
    x = 442,115,946,724/451,595
  6. Step 6: Final answer
    x = 979,009.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.