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Finding the Third Proportional to 77,164 and 163,806

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Solution

The third proportional to 77,164 and 163,806 is: 347,732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,164 : 163,806 = 163,806 : x
  2. Step 2: Convert to fraction form
    77,164/163,806 = 163,806/x
  3. Step 3: Cross multiply
    77,164x = 163,806 × 163,806
  4. Step 4: Simplify right side
    77,164x = 26,832,405,636
  5. Step 5: Solve for x
    x = 26,832,405,636/77,164
  6. Step 6: Final answer
    x = 347,732.18

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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.