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Finding the Third Proportional to 86,688 and 186,309

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Solution

The third proportional to 86,688 and 186,309 is: 400,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,688 : 186,309 = 186,309 : x
  2. Step 2: Convert to fraction form
    86,688/186,309 = 186,309/x
  3. Step 3: Cross multiply
    86,688x = 186,309 × 186,309
  4. Step 4: Simplify right side
    86,688x = 34,711,043,481
  5. Step 5: Solve for x
    x = 34,711,043,481/86,688
  6. Step 6: Final answer
    x = 400,413.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.