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Finding the Third Proportional to 71,038 and 118,380

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Solution

The third proportional to 71,038 and 118,380 is: 197,272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,038 : 118,380 = 118,380 : x
  2. Step 2: Convert to fraction form
    71,038/118,380 = 118,380/x
  3. Step 3: Cross multiply
    71,038x = 118,380 × 118,380
  4. Step 4: Simplify right side
    71,038x = 14,013,824,400
  5. Step 5: Solve for x
    x = 14,013,824,400/71,038
  6. Step 6: Final answer
    x = 197,272.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.