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Finding the Third Proportional to 328,815 and 445,592.25

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Solution

The third proportional to 328,815 and 445,592.25 is: 603,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,815 : 445,592.25 = 445,592.25 : x
  2. Step 2: Convert to fraction form
    328,815/445,592.25 = 445,592.25/x
  3. Step 3: Cross multiply
    328,815x = 445,592.25 × 445,592.25
  4. Step 4: Simplify right side
    328,815x = 198,552,453,260.06
  5. Step 5: Solve for x
    x = 198,552,453,260.06/328,815
  6. Step 6: Final answer
    x = 603,842.44

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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.