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Finding the Third Proportional to 78,542 and 118,956

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Solution

The third proportional to 78,542 and 118,956 is: 180,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,542 : 118,956 = 118,956 : x
  2. Step 2: Convert to fraction form
    78,542/118,956 = 118,956/x
  3. Step 3: Cross multiply
    78,542x = 118,956 × 118,956
  4. Step 4: Simplify right side
    78,542x = 14,150,529,936
  5. Step 5: Solve for x
    x = 14,150,529,936/78,542
  6. Step 6: Final answer
    x = 180,165.13

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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.