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Finding the Third Proportional to 77,749 and 161,030

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Solution

The third proportional to 77,749 and 161,030 is: 333,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,749 : 161,030 = 161,030 : x
  2. Step 2: Convert to fraction form
    77,749/161,030 = 161,030/x
  3. Step 3: Cross multiply
    77,749x = 161,030 × 161,030
  4. Step 4: Simplify right side
    77,749x = 25,930,660,900
  5. Step 5: Solve for x
    x = 25,930,660,900/77,749
  6. Step 6: Final answer
    x = 333,517.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.