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Finding the Third Proportional to 190,782 and 280,323

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Solution

The third proportional to 190,782 and 280,323 is: 411,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,782 : 280,323 = 280,323 : x
  2. Step 2: Convert to fraction form
    190,782/280,323 = 280,323/x
  3. Step 3: Cross multiply
    190,782x = 280,323 × 280,323
  4. Step 4: Simplify right side
    190,782x = 78,580,984,329
  5. Step 5: Solve for x
    x = 78,580,984,329/190,782
  6. Step 6: Final answer
    x = 411,888.88

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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.