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Finding the Third Proportional to 190,680 and 280,179

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Solution

The third proportional to 190,680 and 280,179 is: 411,685.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,680 : 280,179 = 280,179 : x
  2. Step 2: Convert to fraction form
    190,680/280,179 = 280,179/x
  3. Step 3: Cross multiply
    190,680x = 280,179 × 280,179
  4. Step 4: Simplify right side
    190,680x = 78,500,272,041
  5. Step 5: Solve for x
    x = 78,500,272,041/190,680
  6. Step 6: Final answer
    x = 411,685.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.