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Finding the Third Proportional to 77,986.50 and 169,083

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Solution

The third proportional to 77,986.50 and 169,083 is: 366,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,986.50 : 169,083 = 169,083 : x
  2. Step 2: Convert to fraction form
    77,986.50/169,083 = 169,083/x
  3. Step 3: Cross multiply
    77,986.50x = 169,083 × 169,083
  4. Step 4: Simplify right side
    77,986.50x = 28,589,060,889
  5. Step 5: Solve for x
    x = 28,589,060,889/77,986.50
  6. Step 6: Final answer
    x = 366,589.87

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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.