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Finding the Third Proportional to 161,884.50 and 343,495.50

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Solution

The third proportional to 161,884.50 and 343,495.50 is: 728,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,884.50 : 343,495.50 = 343,495.50 : x
  2. Step 2: Convert to fraction form
    161,884.50/343,495.50 = 343,495.50/x
  3. Step 3: Cross multiply
    161,884.50x = 343,495.50 × 343,495.50
  4. Step 4: Simplify right side
    161,884.50x = 117,989,158,520.25
  5. Step 5: Solve for x
    x = 117,989,158,520.25/161,884.50
  6. Step 6: Final answer
    x = 728,847.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.