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Finding the Third Proportional to 178,591.50 and 269,707.50

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Solution

The third proportional to 178,591.50 and 269,707.50 is: 407,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,591.50 : 269,707.50 = 269,707.50 : x
  2. Step 2: Convert to fraction form
    178,591.50/269,707.50 = 269,707.50/x
  3. Step 3: Cross multiply
    178,591.50x = 269,707.50 × 269,707.50
  4. Step 4: Simplify right side
    178,591.50x = 72,742,135,556.25
  5. Step 5: Solve for x
    x = 72,742,135,556.25/178,591.50
  6. Step 6: Final answer
    x = 407,310.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.