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Finding the Third Proportional to 39,613 and 86,057

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Solution

The third proportional to 39,613 and 86,057 is: 186,953.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,613 : 86,057 = 86,057 : x
  2. Step 2: Convert to fraction form
    39,613/86,057 = 86,057/x
  3. Step 3: Cross multiply
    39,613x = 86,057 × 86,057
  4. Step 4: Simplify right side
    39,613x = 7,405,807,249
  5. Step 5: Solve for x
    x = 7,405,807,249/39,613
  6. Step 6: Final answer
    x = 186,953.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.