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Finding the Third Proportional to 75,459 and 157,119

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Solution

The third proportional to 75,459 and 157,119 is: 327,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,459 : 157,119 = 157,119 : x
  2. Step 2: Convert to fraction form
    75,459/157,119 = 157,119/x
  3. Step 3: Cross multiply
    75,459x = 157,119 × 157,119
  4. Step 4: Simplify right side
    75,459x = 24,686,380,161
  5. Step 5: Solve for x
    x = 24,686,380,161/75,459
  6. Step 6: Final answer
    x = 327,149.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.