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Finding the Third Proportional to 190,572 and 280,152

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Solution

The third proportional to 190,572 and 280,152 is: 411,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,572 : 280,152 = 280,152 : x
  2. Step 2: Convert to fraction form
    190,572/280,152 = 280,152/x
  3. Step 3: Cross multiply
    190,572x = 280,152 × 280,152
  4. Step 4: Simplify right side
    190,572x = 78,485,143,104
  5. Step 5: Solve for x
    x = 78,485,143,104/190,572
  6. Step 6: Final answer
    x = 411,839.85

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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.