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Finding the Third Proportional to 142,858.69 and 189,636.19

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Solution

The third proportional to 142,858.69 and 189,636.19 is: 251,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,858.69 : 189,636.19 = 189,636.19 : x
  2. Step 2: Convert to fraction form
    142,858.69/189,636.19 = 189,636.19/x
  3. Step 3: Cross multiply
    142,858.69x = 189,636.19 × 189,636.19
  4. Step 4: Simplify right side
    142,858.69x = 35,961,883,609.54
  5. Step 5: Solve for x
    x = 35,961,883,609.54/142,858.69
  6. Step 6: Final answer
    x = 251,730.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.