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Finding the Third Proportional to 78,969.94 and 173,157.75

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Solution

The third proportional to 78,969.94 and 173,157.75 is: 379,683.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,969.94 : 173,157.75 = 173,157.75 : x
  2. Step 2: Convert to fraction form
    78,969.94/173,157.75 = 173,157.75/x
  3. Step 3: Cross multiply
    78,969.94x = 173,157.75 × 173,157.75
  4. Step 4: Simplify right side
    78,969.94x = 29,983,606,385.06
  5. Step 5: Solve for x
    x = 29,983,606,385.06/78,969.94
  6. Step 6: Final answer
    x = 379,683.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.