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Finding the Third Proportional to 190,730 and 280,256

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Solution

The third proportional to 190,730 and 280,256 is: 411,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,730 : 280,256 = 280,256 : x
  2. Step 2: Convert to fraction form
    190,730/280,256 = 280,256/x
  3. Step 3: Cross multiply
    190,730x = 280,256 × 280,256
  4. Step 4: Simplify right side
    190,730x = 78,543,425,536
  5. Step 5: Solve for x
    x = 78,543,425,536/190,730
  6. Step 6: Final answer
    x = 411,804.25

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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.