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Finding the Third Proportional to 71,815 and 154,293

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Solution

The third proportional to 71,815 and 154,293 is: 331,495.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,815 : 154,293 = 154,293 : x
  2. Step 2: Convert to fraction form
    71,815/154,293 = 154,293/x
  3. Step 3: Cross multiply
    71,815x = 154,293 × 154,293
  4. Step 4: Simplify right side
    71,815x = 23,806,329,849
  5. Step 5: Solve for x
    x = 23,806,329,849/71,815
  6. Step 6: Final answer
    x = 331,495.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.