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Finding the Third Proportional to 282,078 and 587,485

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Solution

The third proportional to 282,078 and 587,485 is: 1,223,557.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,078 : 587,485 = 587,485 : x
  2. Step 2: Convert to fraction form
    282,078/587,485 = 587,485/x
  3. Step 3: Cross multiply
    282,078x = 587,485 × 587,485
  4. Step 4: Simplify right side
    282,078x = 345,138,625,225
  5. Step 5: Solve for x
    x = 345,138,625,225/282,078
  6. Step 6: Final answer
    x = 1,223,557.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.