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Finding the Third Proportional to 301,296 and 442,728

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Solution

The third proportional to 301,296 and 442,728 is: 650,549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,296 : 442,728 = 442,728 : x
  2. Step 2: Convert to fraction form
    301,296/442,728 = 442,728/x
  3. Step 3: Cross multiply
    301,296x = 442,728 × 442,728
  4. Step 4: Simplify right side
    301,296x = 196,008,081,984
  5. Step 5: Solve for x
    x = 196,008,081,984/301,296
  6. Step 6: Final answer
    x = 650,549.90

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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.