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Finding the Third Proportional to 308,035 and 668,774

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Solution

The third proportional to 308,035 and 668,774 is: 1,451,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,035 : 668,774 = 668,774 : x
  2. Step 2: Convert to fraction form
    308,035/668,774 = 668,774/x
  3. Step 3: Cross multiply
    308,035x = 668,774 × 668,774
  4. Step 4: Simplify right side
    308,035x = 447,258,663,076
  5. Step 5: Solve for x
    x = 447,258,663,076/308,035
  6. Step 6: Final answer
    x = 1,451,973.52

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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.