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Finding the Third Proportional to 215,282.81 and 308,161.97

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Solution

The third proportional to 215,282.81 and 308,161.97 is: 441,111.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,282.81 : 308,161.97 = 308,161.97 : x
  2. Step 2: Convert to fraction form
    215,282.81/308,161.97 = 308,161.97/x
  3. Step 3: Cross multiply
    215,282.81x = 308,161.97 × 308,161.97
  4. Step 4: Simplify right side
    215,282.81x = 94,963,798,983.88
  5. Step 5: Solve for x
    x = 94,963,798,983.88/215,282.81
  6. Step 6: Final answer
    x = 441,111.85

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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.