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Finding the Third Proportional to 123,256 and 190,318

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Solution

The third proportional to 123,256 and 190,318 is: 293,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,256 : 190,318 = 190,318 : x
  2. Step 2: Convert to fraction form
    123,256/190,318 = 190,318/x
  3. Step 3: Cross multiply
    123,256x = 190,318 × 190,318
  4. Step 4: Simplify right side
    123,256x = 36,220,941,124
  5. Step 5: Solve for x
    x = 36,220,941,124/123,256
  6. Step 6: Final answer
    x = 293,867.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.