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Finding the Third Proportional to 301,326 and 408,775

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Solution

The third proportional to 301,326 and 408,775 is: 554,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,326 : 408,775 = 408,775 : x
  2. Step 2: Convert to fraction form
    301,326/408,775 = 408,775/x
  3. Step 3: Cross multiply
    301,326x = 408,775 × 408,775
  4. Step 4: Simplify right side
    301,326x = 167,097,000,625
  5. Step 5: Solve for x
    x = 167,097,000,625/301,326
  6. Step 6: Final answer
    x = 554,538.94

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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.