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Finding the Third Proportional to 70,929 and 154,458

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Solution

The third proportional to 70,929 and 154,458 is: 336,354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,929 : 154,458 = 154,458 : x
  2. Step 2: Convert to fraction form
    70,929/154,458 = 154,458/x
  3. Step 3: Cross multiply
    70,929x = 154,458 × 154,458
  4. Step 4: Simplify right side
    70,929x = 23,857,273,764
  5. Step 5: Solve for x
    x = 23,857,273,764/70,929
  6. Step 6: Final answer
    x = 336,354.29

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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.