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Finding the Third Proportional to 308,148 and 662,286

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Solution

The third proportional to 308,148 and 662,286 is: 1,423,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,148 : 662,286 = 662,286 : x
  2. Step 2: Convert to fraction form
    308,148/662,286 = 662,286/x
  3. Step 3: Cross multiply
    308,148x = 662,286 × 662,286
  4. Step 4: Simplify right side
    308,148x = 438,622,745,796
  5. Step 5: Solve for x
    x = 438,622,745,796/308,148
  6. Step 6: Final answer
    x = 1,423,415.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.