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Finding the Third Proportional to 156,100.50 and 342,181.50

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Solution

The third proportional to 156,100.50 and 342,181.50 is: 750,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,100.50 : 342,181.50 = 342,181.50 : x
  2. Step 2: Convert to fraction form
    156,100.50/342,181.50 = 342,181.50/x
  3. Step 3: Cross multiply
    156,100.50x = 342,181.50 × 342,181.50
  4. Step 4: Simplify right side
    156,100.50x = 117,088,178,942.25
  5. Step 5: Solve for x
    x = 117,088,178,942.25/156,100.50
  6. Step 6: Final answer
    x = 750,082.02

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