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Finding the Third Proportional to 86,409 and 185,346

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Solution

The third proportional to 86,409 and 185,346 is: 397,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,409 : 185,346 = 185,346 : x
  2. Step 2: Convert to fraction form
    86,409/185,346 = 185,346/x
  3. Step 3: Cross multiply
    86,409x = 185,346 × 185,346
  4. Step 4: Simplify right side
    86,409x = 34,353,139,716
  5. Step 5: Solve for x
    x = 34,353,139,716/86,409
  6. Step 6: Final answer
    x = 397,564.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.