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Finding the Third Proportional to 71,138 and 154,804

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Solution

The third proportional to 71,138 and 154,804 is: 336,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,138 : 154,804 = 154,804 : x
  2. Step 2: Convert to fraction form
    71,138/154,804 = 154,804/x
  3. Step 3: Cross multiply
    71,138x = 154,804 × 154,804
  4. Step 4: Simplify right side
    71,138x = 23,964,278,416
  5. Step 5: Solve for x
    x = 23,964,278,416/71,138
  6. Step 6: Final answer
    x = 336,870.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.