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Finding the Third Proportional to 308,891 and 493,313

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Solution

The third proportional to 308,891 and 493,313 is: 787,843.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,891 : 493,313 = 493,313 : x
  2. Step 2: Convert to fraction form
    308,891/493,313 = 493,313/x
  3. Step 3: Cross multiply
    308,891x = 493,313 × 493,313
  4. Step 4: Simplify right side
    308,891x = 243,357,715,969
  5. Step 5: Solve for x
    x = 243,357,715,969/308,891
  6. Step 6: Final answer
    x = 787,843.34

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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.