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Finding the Third Proportional to 71,816 and 154,294

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Solution

The third proportional to 71,816 and 154,294 is: 331,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,816 : 154,294 = 154,294 : x
  2. Step 2: Convert to fraction form
    71,816/154,294 = 154,294/x
  3. Step 3: Cross multiply
    71,816x = 154,294 × 154,294
  4. Step 4: Simplify right side
    71,816x = 23,806,638,436
  5. Step 5: Solve for x
    x = 23,806,638,436/71,816
  6. Step 6: Final answer
    x = 331,494.91

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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.