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Finding the Third Proportional to 64,770 and 86,766

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Solution

The third proportional to 64,770 and 86,766 is: 116,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,770 : 86,766 = 86,766 : x
  2. Step 2: Convert to fraction form
    64,770/86,766 = 86,766/x
  3. Step 3: Cross multiply
    64,770x = 86,766 × 86,766
  4. Step 4: Simplify right side
    64,770x = 7,528,338,756
  5. Step 5: Solve for x
    x = 7,528,338,756/64,770
  6. Step 6: Final answer
    x = 116,231.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.