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Finding the Third Proportional to 190,746 and 280,272

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Solution

The third proportional to 190,746 and 280,272 is: 411,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,746 : 280,272 = 280,272 : x
  2. Step 2: Convert to fraction form
    190,746/280,272 = 280,272/x
  3. Step 3: Cross multiply
    190,746x = 280,272 × 280,272
  4. Step 4: Simplify right side
    190,746x = 78,552,393,984
  5. Step 5: Solve for x
    x = 78,552,393,984/190,746
  6. Step 6: Final answer
    x = 411,816.73

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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.