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Finding the Third Proportional to 75,189 and 162,129

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Solution

The third proportional to 75,189 and 162,129 is: 349,596.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,189 : 162,129 = 162,129 : x
  2. Step 2: Convert to fraction form
    75,189/162,129 = 162,129/x
  3. Step 3: Cross multiply
    75,189x = 162,129 × 162,129
  4. Step 4: Simplify right side
    75,189x = 26,285,812,641
  5. Step 5: Solve for x
    x = 26,285,812,641/75,189
  6. Step 6: Final answer
    x = 349,596.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.