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Finding the Third Proportional to 190,686 and 280,521

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Solution

The third proportional to 190,686 and 280,521 is: 412,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,686 : 280,521 = 280,521 : x
  2. Step 2: Convert to fraction form
    190,686/280,521 = 280,521/x
  3. Step 3: Cross multiply
    190,686x = 280,521 × 280,521
  4. Step 4: Simplify right side
    190,686x = 78,692,031,441
  5. Step 5: Solve for x
    x = 78,692,031,441/190,686
  6. Step 6: Final answer
    x = 412,678.60

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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.