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Finding the Third Proportional to 190,110 and 278,253

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Solution

The third proportional to 190,110 and 278,253 is: 407,262.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,110 : 278,253 = 278,253 : x
  2. Step 2: Convert to fraction form
    190,110/278,253 = 278,253/x
  3. Step 3: Cross multiply
    190,110x = 278,253 × 278,253
  4. Step 4: Simplify right side
    190,110x = 77,424,732,009
  5. Step 5: Solve for x
    x = 77,424,732,009/190,110
  6. Step 6: Final answer
    x = 407,262.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.