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Finding the Third Proportional to 71,900 and 151,252

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Solution

The third proportional to 71,900 and 151,252 is: 318,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,900 : 151,252 = 151,252 : x
  2. Step 2: Convert to fraction form
    71,900/151,252 = 151,252/x
  3. Step 3: Cross multiply
    71,900x = 151,252 × 151,252
  4. Step 4: Simplify right side
    71,900x = 22,877,167,504
  5. Step 5: Solve for x
    x = 22,877,167,504/71,900
  6. Step 6: Final answer
    x = 318,180.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.