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Finding the Third Proportional to 308,796 and 660,399

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Solution

The third proportional to 308,796 and 660,399 is: 1,412,346.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,796 : 660,399 = 660,399 : x
  2. Step 2: Convert to fraction form
    308,796/660,399 = 660,399/x
  3. Step 3: Cross multiply
    308,796x = 660,399 × 660,399
  4. Step 4: Simplify right side
    308,796x = 436,126,839,201
  5. Step 5: Solve for x
    x = 436,126,839,201/308,796
  6. Step 6: Final answer
    x = 1,412,346.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.