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Finding the Third Proportional to 190,730 and 280,255

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Solution

The third proportional to 190,730 and 280,255 is: 411,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,730 : 280,255 = 280,255 : x
  2. Step 2: Convert to fraction form
    190,730/280,255 = 280,255/x
  3. Step 3: Cross multiply
    190,730x = 280,255 × 280,255
  4. Step 4: Simplify right side
    190,730x = 78,542,865,025
  5. Step 5: Solve for x
    x = 78,542,865,025/190,730
  6. Step 6: Final answer
    x = 411,801.32

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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.