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Finding the Third Proportional to 179,390 and 380,642

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Solution

The third proportional to 179,390 and 380,642 is: 807,672.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,390 : 380,642 = 380,642 : x
  2. Step 2: Convert to fraction form
    179,390/380,642 = 380,642/x
  3. Step 3: Cross multiply
    179,390x = 380,642 × 380,642
  4. Step 4: Simplify right side
    179,390x = 144,888,332,164
  5. Step 5: Solve for x
    x = 144,888,332,164/179,390
  6. Step 6: Final answer
    x = 807,672.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.