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Finding the Third Proportional to 70,274 and 154,372

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Solution

The third proportional to 70,274 and 154,372 is: 339,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,274 : 154,372 = 154,372 : x
  2. Step 2: Convert to fraction form
    70,274/154,372 = 154,372/x
  3. Step 3: Cross multiply
    70,274x = 154,372 × 154,372
  4. Step 4: Simplify right side
    70,274x = 23,830,714,384
  5. Step 5: Solve for x
    x = 23,830,714,384/70,274
  6. Step 6: Final answer
    x = 339,111.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.