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Finding the Third Proportional to 86,688 and 163,008

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Solution

The third proportional to 86,688 and 163,008 is: 306,520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,688 : 163,008 = 163,008 : x
  2. Step 2: Convert to fraction form
    86,688/163,008 = 163,008/x
  3. Step 3: Cross multiply
    86,688x = 163,008 × 163,008
  4. Step 4: Simplify right side
    86,688x = 26,571,608,064
  5. Step 5: Solve for x
    x = 26,571,608,064/86,688
  6. Step 6: Final answer
    x = 306,520.03

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.