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Finding the Third Proportional to 282,789 and 585,270

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Solution

The third proportional to 282,789 and 585,270 is: 1,211,295.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,789 : 585,270 = 585,270 : x
  2. Step 2: Convert to fraction form
    282,789/585,270 = 585,270/x
  3. Step 3: Cross multiply
    282,789x = 585,270 × 585,270
  4. Step 4: Simplify right side
    282,789x = 342,540,972,900
  5. Step 5: Solve for x
    x = 342,540,972,900/282,789
  6. Step 6: Final answer
    x = 1,211,295.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.