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Finding the Third Proportional to 78,813 and 118,302

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Solution

The third proportional to 78,813 and 118,302 is: 177,576.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,813 : 118,302 = 118,302 : x
  2. Step 2: Convert to fraction form
    78,813/118,302 = 118,302/x
  3. Step 3: Cross multiply
    78,813x = 118,302 × 118,302
  4. Step 4: Simplify right side
    78,813x = 13,995,363,204
  5. Step 5: Solve for x
    x = 13,995,363,204/78,813
  6. Step 6: Final answer
    x = 177,576.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.