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Finding the Third Proportional to 308,154 and 662,298

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Solution

The third proportional to 308,154 and 662,298 is: 1,423,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,154 : 662,298 = 662,298 : x
  2. Step 2: Convert to fraction form
    308,154/662,298 = 662,298/x
  3. Step 3: Cross multiply
    308,154x = 662,298 × 662,298
  4. Step 4: Simplify right side
    308,154x = 438,638,640,804
  5. Step 5: Solve for x
    x = 438,638,640,804/308,154
  6. Step 6: Final answer
    x = 1,423,439.71

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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.