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Finding the Third Proportional to 285,890 and 608,756

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Solution

The third proportional to 285,890 and 608,756 is: 1,296,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,890 : 608,756 = 608,756 : x
  2. Step 2: Convert to fraction form
    285,890/608,756 = 608,756/x
  3. Step 3: Cross multiply
    285,890x = 608,756 × 608,756
  4. Step 4: Simplify right side
    285,890x = 370,583,867,536
  5. Step 5: Solve for x
    x = 370,583,867,536/285,890
  6. Step 6: Final answer
    x = 1,296,246.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.