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Finding the Third Proportional to 78,946.50 and 173,186.25

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Solution

The third proportional to 78,946.50 and 173,186.25 is: 379,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,946.50 : 173,186.25 = 173,186.25 : x
  2. Step 2: Convert to fraction form
    78,946.50/173,186.25 = 173,186.25/x
  3. Step 3: Cross multiply
    78,946.50x = 173,186.25 × 173,186.25
  4. Step 4: Simplify right side
    78,946.50x = 29,993,477,189.06
  5. Step 5: Solve for x
    x = 29,993,477,189.06/78,946.50
  6. Step 6: Final answer
    x = 379,921.56

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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.