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Finding the Third Proportional to 81,786 and 115,788

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Solution

The third proportional to 81,786 and 115,788 is: 163,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,786 : 115,788 = 115,788 : x
  2. Step 2: Convert to fraction form
    81,786/115,788 = 115,788/x
  3. Step 3: Cross multiply
    81,786x = 115,788 × 115,788
  4. Step 4: Simplify right side
    81,786x = 13,406,860,944
  5. Step 5: Solve for x
    x = 13,406,860,944/81,786
  6. Step 6: Final answer
    x = 163,926.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.