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Finding the Third Proportional to 78,419 and 118,601

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Solution

The third proportional to 78,419 and 118,601 is: 179,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,419 : 118,601 = 118,601 : x
  2. Step 2: Convert to fraction form
    78,419/118,601 = 118,601/x
  3. Step 3: Cross multiply
    78,419x = 118,601 × 118,601
  4. Step 4: Simplify right side
    78,419x = 14,066,197,201
  5. Step 5: Solve for x
    x = 14,066,197,201/78,419
  6. Step 6: Final answer
    x = 179,372.31

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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.