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Finding the Third Proportional to 190,618 and 280,380

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Solution

The third proportional to 190,618 and 280,380 is: 412,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,618 : 280,380 = 280,380 : x
  2. Step 2: Convert to fraction form
    190,618/280,380 = 280,380/x
  3. Step 3: Cross multiply
    190,618x = 280,380 × 280,380
  4. Step 4: Simplify right side
    190,618x = 78,612,944,400
  5. Step 5: Solve for x
    x = 78,612,944,400/190,618
  6. Step 6: Final answer
    x = 412,410.92

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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.