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Finding the Third Proportional to 328,983 and 445,791

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Solution

The third proportional to 328,983 and 445,791 is: 604,072.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,983 : 445,791 = 445,791 : x
  2. Step 2: Convert to fraction form
    328,983/445,791 = 445,791/x
  3. Step 3: Cross multiply
    328,983x = 445,791 × 445,791
  4. Step 4: Simplify right side
    328,983x = 198,729,615,681
  5. Step 5: Solve for x
    x = 198,729,615,681/328,983
  6. Step 6: Final answer
    x = 604,072.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.