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Finding the Third Proportional to 70,178 and 154,180

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Solution

The third proportional to 70,178 and 154,180 is: 338,731.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,178 : 154,180 = 154,180 : x
  2. Step 2: Convert to fraction form
    70,178/154,180 = 154,180/x
  3. Step 3: Cross multiply
    70,178x = 154,180 × 154,180
  4. Step 4: Simplify right side
    70,178x = 23,771,472,400
  5. Step 5: Solve for x
    x = 23,771,472,400/70,178
  6. Step 6: Final answer
    x = 338,731.12

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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.