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Finding the Third Proportional to 135,576 and 280,584

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Solution

The third proportional to 135,576 and 280,584 is: 580,688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,576 : 280,584 = 280,584 : x
  2. Step 2: Convert to fraction form
    135,576/280,584 = 280,584/x
  3. Step 3: Cross multiply
    135,576x = 280,584 × 280,584
  4. Step 4: Simplify right side
    135,576x = 78,727,381,056
  5. Step 5: Solve for x
    x = 78,727,381,056/135,576
  6. Step 6: Final answer
    x = 580,688.18

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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.