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Finding the Third Proportional to 103,679 and 191,784

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Solution

The third proportional to 103,679 and 191,784 is: 354,759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,679 : 191,784 = 191,784 : x
  2. Step 2: Convert to fraction form
    103,679/191,784 = 191,784/x
  3. Step 3: Cross multiply
    103,679x = 191,784 × 191,784
  4. Step 4: Simplify right side
    103,679x = 36,781,102,656
  5. Step 5: Solve for x
    x = 36,781,102,656/103,679
  6. Step 6: Final answer
    x = 354,759.43

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.