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Finding the Third Proportional to 167,870 and 256,179

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Solution

The third proportional to 167,870 and 256,179 is: 390,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,870 : 256,179 = 256,179 : x
  2. Step 2: Convert to fraction form
    167,870/256,179 = 256,179/x
  3. Step 3: Cross multiply
    167,870x = 256,179 × 256,179
  4. Step 4: Simplify right side
    167,870x = 65,627,680,041
  5. Step 5: Solve for x
    x = 65,627,680,041/167,870
  6. Step 6: Final answer
    x = 390,943.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.