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Finding the Third Proportional to 75,082 and 163,143

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Solution

The third proportional to 75,082 and 163,143 is: 354,487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,082 : 163,143 = 163,143 : x
  2. Step 2: Convert to fraction form
    75,082/163,143 = 163,143/x
  3. Step 3: Cross multiply
    75,082x = 163,143 × 163,143
  4. Step 4: Simplify right side
    75,082x = 26,615,638,449
  5. Step 5: Solve for x
    x = 26,615,638,449/75,082
  6. Step 6: Final answer
    x = 354,487.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.