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Finding the Third Proportional to 127,485 and 280,136

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Solution

The third proportional to 127,485 and 280,136 is: 615,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,485 : 280,136 = 280,136 : x
  2. Step 2: Convert to fraction form
    127,485/280,136 = 280,136/x
  3. Step 3: Cross multiply
    127,485x = 280,136 × 280,136
  4. Step 4: Simplify right side
    127,485x = 78,476,178,496
  5. Step 5: Solve for x
    x = 78,476,178,496/127,485
  6. Step 6: Final answer
    x = 615,571.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.