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Finding the Third Proportional to 308,033 and 668,770

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Solution

The third proportional to 308,033 and 668,770 is: 1,451,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,033 : 668,770 = 668,770 : x
  2. Step 2: Convert to fraction form
    308,033/668,770 = 668,770/x
  3. Step 3: Cross multiply
    308,033x = 668,770 × 668,770
  4. Step 4: Simplify right side
    308,033x = 447,253,312,900
  5. Step 5: Solve for x
    x = 447,253,312,900/308,033
  6. Step 6: Final answer
    x = 1,451,965.58

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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.