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Finding the Third Proportional to 202,136 and 280,330

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Solution

The third proportional to 202,136 and 280,330 is: 388,772.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,136 : 280,330 = 280,330 : x
  2. Step 2: Convert to fraction form
    202,136/280,330 = 280,330/x
  3. Step 3: Cross multiply
    202,136x = 280,330 × 280,330
  4. Step 4: Simplify right side
    202,136x = 78,584,908,900
  5. Step 5: Solve for x
    x = 78,584,908,900/202,136
  6. Step 6: Final answer
    x = 388,772.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.