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Finding the Third Proportional to 140,717 and 287,176

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Solution

The third proportional to 140,717 and 287,176 is: 586,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,717 : 287,176 = 287,176 : x
  2. Step 2: Convert to fraction form
    140,717/287,176 = 287,176/x
  3. Step 3: Cross multiply
    140,717x = 287,176 × 287,176
  4. Step 4: Simplify right side
    140,717x = 82,470,054,976
  5. Step 5: Solve for x
    x = 82,470,054,976/140,717
  6. Step 6: Final answer
    x = 586,070.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.