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Finding the Third Proportional to 308,944.97 and 651,105

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Solution

The third proportional to 308,944.97 and 651,105 is: 1,372,211.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,944.97 : 651,105 = 651,105 : x
  2. Step 2: Convert to fraction form
    308,944.97/651,105 = 651,105/x
  3. Step 3: Cross multiply
    308,944.97x = 651,105 × 651,105
  4. Step 4: Simplify right side
    308,944.97x = 423,937,721,025
  5. Step 5: Solve for x
    x = 423,937,721,025/308,944.97
  6. Step 6: Final answer
    x = 1,372,211.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.