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Finding the Third Proportional to 190,860 and 280,458

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Solution

The third proportional to 190,860 and 280,458 is: 412,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,860 : 280,458 = 280,458 : x
  2. Step 2: Convert to fraction form
    190,860/280,458 = 280,458/x
  3. Step 3: Cross multiply
    190,860x = 280,458 × 280,458
  4. Step 4: Simplify right side
    190,860x = 78,656,689,764
  5. Step 5: Solve for x
    x = 78,656,689,764/190,860
  6. Step 6: Final answer
    x = 412,117.21

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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.