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Finding the Third Proportional to 77,918 and 170,245

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Solution

The third proportional to 77,918 and 170,245 is: 371,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,918 : 170,245 = 170,245 : x
  2. Step 2: Convert to fraction form
    77,918/170,245 = 170,245/x
  3. Step 3: Cross multiply
    77,918x = 170,245 × 170,245
  4. Step 4: Simplify right side
    77,918x = 28,983,360,025
  5. Step 5: Solve for x
    x = 28,983,360,025/77,918
  6. Step 6: Final answer
    x = 371,972.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.