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Finding the Third Proportional to 215,634 and 308,772

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Solution

The third proportional to 215,634 and 308,772 is: 442,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,634 : 308,772 = 308,772 : x
  2. Step 2: Convert to fraction form
    215,634/308,772 = 308,772/x
  3. Step 3: Cross multiply
    215,634x = 308,772 × 308,772
  4. Step 4: Simplify right side
    215,634x = 95,340,147,984
  5. Step 5: Solve for x
    x = 95,340,147,984/215,634
  6. Step 6: Final answer
    x = 442,138.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.