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Finding the Third Proportional to 129,968 and 190,340

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Solution

The third proportional to 129,968 and 190,340 is: 278,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,968 : 190,340 = 190,340 : x
  2. Step 2: Convert to fraction form
    129,968/190,340 = 190,340/x
  3. Step 3: Cross multiply
    129,968x = 190,340 × 190,340
  4. Step 4: Simplify right side
    129,968x = 36,229,315,600
  5. Step 5: Solve for x
    x = 36,229,315,600/129,968
  6. Step 6: Final answer
    x = 278,755.66

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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.