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Finding the Third Proportional to 138,628 and 300,296

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Solution

The third proportional to 138,628 and 300,296 is: 650,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,628 : 300,296 = 300,296 : x
  2. Step 2: Convert to fraction form
    138,628/300,296 = 300,296/x
  3. Step 3: Cross multiply
    138,628x = 300,296 × 300,296
  4. Step 4: Simplify right side
    138,628x = 90,177,687,616
  5. Step 5: Solve for x
    x = 90,177,687,616/138,628
  6. Step 6: Final answer
    x = 650,501.25

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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.