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Finding the Third Proportional to 126,486 and 190,558

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Solution

The third proportional to 126,486 and 190,558 is: 287,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,486 : 190,558 = 190,558 : x
  2. Step 2: Convert to fraction form
    126,486/190,558 = 190,558/x
  3. Step 3: Cross multiply
    126,486x = 190,558 × 190,558
  4. Step 4: Simplify right side
    126,486x = 36,312,351,364
  5. Step 5: Solve for x
    x = 36,312,351,364/126,486
  6. Step 6: Final answer
    x = 287,085.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.