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Finding the Third Proportional to 96,100.50 and 150,319.50

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Solution

The third proportional to 96,100.50 and 150,319.50 is: 235,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,100.50 : 150,319.50 = 150,319.50 : x
  2. Step 2: Convert to fraction form
    96,100.50/150,319.50 = 150,319.50/x
  3. Step 3: Cross multiply
    96,100.50x = 150,319.50 × 150,319.50
  4. Step 4: Simplify right side
    96,100.50x = 22,595,952,080.25
  5. Step 5: Solve for x
    x = 22,595,952,080.25/96,100.50
  6. Step 6: Final answer
    x = 235,128.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.