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Finding the Third Proportional to 71,278 and 154,698

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Solution

The third proportional to 71,278 and 154,698 is: 335,748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,278 : 154,698 = 154,698 : x
  2. Step 2: Convert to fraction form
    71,278/154,698 = 154,698/x
  3. Step 3: Cross multiply
    71,278x = 154,698 × 154,698
  4. Step 4: Simplify right side
    71,278x = 23,931,471,204
  5. Step 5: Solve for x
    x = 23,931,471,204/71,278
  6. Step 6: Final answer
    x = 335,748.35

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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.