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Finding the Third Proportional to 328,674 and 519,999

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Solution

The third proportional to 328,674 and 519,999 is: 822,696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,674 : 519,999 = 519,999 : x
  2. Step 2: Convert to fraction form
    328,674/519,999 = 519,999/x
  3. Step 3: Cross multiply
    328,674x = 519,999 × 519,999
  4. Step 4: Simplify right side
    328,674x = 270,398,960,001
  5. Step 5: Solve for x
    x = 270,398,960,001/328,674
  6. Step 6: Final answer
    x = 822,696.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.