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Finding the Third Proportional to 190,665 and 280,080

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Solution

The third proportional to 190,665 and 280,080 is: 411,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,665 : 280,080 = 280,080 : x
  2. Step 2: Convert to fraction form
    190,665/280,080 = 280,080/x
  3. Step 3: Cross multiply
    190,665x = 280,080 × 280,080
  4. Step 4: Simplify right side
    190,665x = 78,444,806,400
  5. Step 5: Solve for x
    x = 78,444,806,400/190,665
  6. Step 6: Final answer
    x = 411,427.41

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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.