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Finding the Third Proportional to 284,576 and 381,888

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Solution

The third proportional to 284,576 and 381,888 is: 512,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,576 : 381,888 = 381,888 : x
  2. Step 2: Convert to fraction form
    284,576/381,888 = 381,888/x
  3. Step 3: Cross multiply
    284,576x = 381,888 × 381,888
  4. Step 4: Simplify right side
    284,576x = 145,838,444,544
  5. Step 5: Solve for x
    x = 145,838,444,544/284,576
  6. Step 6: Final answer
    x = 512,476.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.