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Finding the Third Proportional to 190,080 and 408,240

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Solution

The third proportional to 190,080 and 408,240 is: 876,788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,080 : 408,240 = 408,240 : x
  2. Step 2: Convert to fraction form
    190,080/408,240 = 408,240/x
  3. Step 3: Cross multiply
    190,080x = 408,240 × 408,240
  4. Step 4: Simplify right side
    190,080x = 166,659,897,600
  5. Step 5: Solve for x
    x = 166,659,897,600/190,080
  6. Step 6: Final answer
    x = 876,788.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.