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Finding the Third Proportional to 190,742 and 280,267

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Solution

The third proportional to 190,742 and 280,267 is: 411,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,742 : 280,267 = 280,267 : x
  2. Step 2: Convert to fraction form
    190,742/280,267 = 280,267/x
  3. Step 3: Cross multiply
    190,742x = 280,267 × 280,267
  4. Step 4: Simplify right side
    190,742x = 78,549,591,289
  5. Step 5: Solve for x
    x = 78,549,591,289/190,742
  6. Step 6: Final answer
    x = 411,810.67

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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.