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Finding the Third Proportional to 328,698 and 438,918.75

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Solution

The third proportional to 328,698 and 438,918.75 is: 586,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,698 : 438,918.75 = 438,918.75 : x
  2. Step 2: Convert to fraction form
    328,698/438,918.75 = 438,918.75/x
  3. Step 3: Cross multiply
    328,698x = 438,918.75 × 438,918.75
  4. Step 4: Simplify right side
    328,698x = 192,649,669,101.56
  5. Step 5: Solve for x
    x = 192,649,669,101.56/328,698
  6. Step 6: Final answer
    x = 586,099.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.