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Finding the Third Proportional to 308,907 and 493,338

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Solution

The third proportional to 308,907 and 493,338 is: 787,882.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,907 : 493,338 = 493,338 : x
  2. Step 2: Convert to fraction form
    308,907/493,338 = 493,338/x
  3. Step 3: Cross multiply
    308,907x = 493,338 × 493,338
  4. Step 4: Simplify right side
    308,907x = 243,382,382,244
  5. Step 5: Solve for x
    x = 243,382,382,244/308,907
  6. Step 6: Final answer
    x = 787,882.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.