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Finding the Third Proportional to 156,919.50 and 343,181.25

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Solution

The third proportional to 156,919.50 and 343,181.25 is: 750,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,919.50 : 343,181.25 = 343,181.25 : x
  2. Step 2: Convert to fraction form
    156,919.50/343,181.25 = 343,181.25/x
  3. Step 3: Cross multiply
    156,919.50x = 343,181.25 × 343,181.25
  4. Step 4: Simplify right side
    156,919.50x = 117,773,370,351.56
  5. Step 5: Solve for x
    x = 117,773,370,351.56/156,919.50
  6. Step 6: Final answer
    x = 750,533.68

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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.