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Finding the Third Proportional to 108,702 and 162,729

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Solution

The third proportional to 108,702 and 162,729 is: 243,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,702 : 162,729 = 162,729 : x
  2. Step 2: Convert to fraction form
    108,702/162,729 = 162,729/x
  3. Step 3: Cross multiply
    108,702x = 162,729 × 162,729
  4. Step 4: Simplify right side
    108,702x = 26,480,727,441
  5. Step 5: Solve for x
    x = 26,480,727,441/108,702
  6. Step 6: Final answer
    x = 243,608.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.