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Finding the Third Proportional to 188,707.50 and 412,407

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Solution

The third proportional to 188,707.50 and 412,407 is: 901,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,707.50 : 412,407 = 412,407 : x
  2. Step 2: Convert to fraction form
    188,707.50/412,407 = 412,407/x
  3. Step 3: Cross multiply
    188,707.50x = 412,407 × 412,407
  4. Step 4: Simplify right side
    188,707.50x = 170,079,533,649
  5. Step 5: Solve for x
    x = 170,079,533,649/188,707.50
  6. Step 6: Final answer
    x = 901,286.56

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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.