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Finding the Third Proportional to 81,816 and 168,860

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Solution

The third proportional to 81,816 and 168,860 is: 348,510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,816 : 168,860 = 168,860 : x
  2. Step 2: Convert to fraction form
    81,816/168,860 = 168,860/x
  3. Step 3: Cross multiply
    81,816x = 168,860 × 168,860
  4. Step 4: Simplify right side
    81,816x = 28,513,699,600
  5. Step 5: Solve for x
    x = 28,513,699,600/81,816
  6. Step 6: Final answer
    x = 348,510.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.