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Finding the Third Proportional to 39,842 and 86,929

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Solution

The third proportional to 39,842 and 86,929 is: 189,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,842 : 86,929 = 86,929 : x
  2. Step 2: Convert to fraction form
    39,842/86,929 = 86,929/x
  3. Step 3: Cross multiply
    39,842x = 86,929 × 86,929
  4. Step 4: Simplify right side
    39,842x = 7,556,651,041
  5. Step 5: Solve for x
    x = 7,556,651,041/39,842
  6. Step 6: Final answer
    x = 189,665.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.