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Finding the Third Proportional to 70,151 and 150,171

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Solution

The third proportional to 70,151 and 150,171 is: 321,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,151 : 150,171 = 150,171 : x
  2. Step 2: Convert to fraction form
    70,151/150,171 = 150,171/x
  3. Step 3: Cross multiply
    70,151x = 150,171 × 150,171
  4. Step 4: Simplify right side
    70,151x = 22,551,329,241
  5. Step 5: Solve for x
    x = 22,551,329,241/70,151
  6. Step 6: Final answer
    x = 321,468.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.