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Finding the Third Proportional to 308,836 and 670,808

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Solution

The third proportional to 308,836 and 670,808 is: 1,457,030.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,836 : 670,808 = 670,808 : x
  2. Step 2: Convert to fraction form
    308,836/670,808 = 670,808/x
  3. Step 3: Cross multiply
    308,836x = 670,808 × 670,808
  4. Step 4: Simplify right side
    308,836x = 449,983,372,864
  5. Step 5: Solve for x
    x = 449,983,372,864/308,836
  6. Step 6: Final answer
    x = 1,457,030.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.