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Finding the Third Proportional to 135,746 and 280,804

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Solution

The third proportional to 135,746 and 280,804 is: 580,870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,746 : 280,804 = 280,804 : x
  2. Step 2: Convert to fraction form
    135,746/280,804 = 280,804/x
  3. Step 3: Cross multiply
    135,746x = 280,804 × 280,804
  4. Step 4: Simplify right side
    135,746x = 78,850,886,416
  5. Step 5: Solve for x
    x = 78,850,886,416/135,746
  6. Step 6: Final answer
    x = 580,870.79

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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.