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Finding the Third Proportional to 86,142 and 189,258

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Solution

The third proportional to 86,142 and 189,258 is: 415,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,142 : 189,258 = 189,258 : x
  2. Step 2: Convert to fraction form
    86,142/189,258 = 189,258/x
  3. Step 3: Cross multiply
    86,142x = 189,258 × 189,258
  4. Step 4: Simplify right side
    86,142x = 35,818,590,564
  5. Step 5: Solve for x
    x = 35,818,590,564/86,142
  6. Step 6: Final answer
    x = 415,808.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.