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Finding the Third Proportional to 71,258 and 154,837

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Solution

The third proportional to 71,258 and 154,837 is: 336,446.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,258 : 154,837 = 154,837 : x
  2. Step 2: Convert to fraction form
    71,258/154,837 = 154,837/x
  3. Step 3: Cross multiply
    71,258x = 154,837 × 154,837
  4. Step 4: Simplify right side
    71,258x = 23,974,496,569
  5. Step 5: Solve for x
    x = 23,974,496,569/71,258
  6. Step 6: Final answer
    x = 336,446.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.