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Finding the Third Proportional to 78,414 and 118,351

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Solution

The third proportional to 78,414 and 118,351 is: 178,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,414 : 118,351 = 118,351 : x
  2. Step 2: Convert to fraction form
    78,414/118,351 = 118,351/x
  3. Step 3: Cross multiply
    78,414x = 118,351 × 118,351
  4. Step 4: Simplify right side
    78,414x = 14,006,959,201
  5. Step 5: Solve for x
    x = 14,006,959,201/78,414
  6. Step 6: Final answer
    x = 178,628.30

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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.