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Finding the Third Proportional to 282,816 and 439,056

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Solution

The third proportional to 282,816 and 439,056 is: 681,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,816 : 439,056 = 439,056 : x
  2. Step 2: Convert to fraction form
    282,816/439,056 = 439,056/x
  3. Step 3: Cross multiply
    282,816x = 439,056 × 439,056
  4. Step 4: Simplify right side
    282,816x = 192,770,171,136
  5. Step 5: Solve for x
    x = 192,770,171,136/282,816
  6. Step 6: Final answer
    x = 681,609.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.