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Finding the Third Proportional to 190,443 and 279,768

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Solution

The third proportional to 190,443 and 279,768 is: 410,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,443 : 279,768 = 279,768 : x
  2. Step 2: Convert to fraction form
    190,443/279,768 = 279,768/x
  3. Step 3: Cross multiply
    190,443x = 279,768 × 279,768
  4. Step 4: Simplify right side
    190,443x = 78,270,133,824
  5. Step 5: Solve for x
    x = 78,270,133,824/190,443
  6. Step 6: Final answer
    x = 410,989.82

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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.