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Finding the Third Proportional to 86,288 and 182,860

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Solution

The third proportional to 86,288 and 182,860 is: 387,513.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,288 : 182,860 = 182,860 : x
  2. Step 2: Convert to fraction form
    86,288/182,860 = 182,860/x
  3. Step 3: Cross multiply
    86,288x = 182,860 × 182,860
  4. Step 4: Simplify right side
    86,288x = 33,437,779,600
  5. Step 5: Solve for x
    x = 33,437,779,600/86,288
  6. Step 6: Final answer
    x = 387,513.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.