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Finding the Third Proportional to 190,634.50 and 334,856

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Solution

The third proportional to 190,634.50 and 334,856 is: 588,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,634.50 : 334,856 = 334,856 : x
  2. Step 2: Convert to fraction form
    190,634.50/334,856 = 334,856/x
  3. Step 3: Cross multiply
    190,634.50x = 334,856 × 334,856
  4. Step 4: Simplify right side
    190,634.50x = 112,128,540,736
  5. Step 5: Solve for x
    x = 112,128,540,736/190,634.50
  6. Step 6: Final answer
    x = 588,185.98

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.