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Finding the Third Proportional to 39,842.51 and 86,694.68

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Solution

The third proportional to 39,842.51 and 86,694.68 is: 188,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,842.51 : 86,694.68 = 86,694.68 : x
  2. Step 2: Convert to fraction form
    39,842.51/86,694.68 = 86,694.68/x
  3. Step 3: Cross multiply
    39,842.51x = 86,694.68 × 86,694.68
  4. Step 4: Simplify right side
    39,842.51x = 7,515,967,486.12
  5. Step 5: Solve for x
    x = 7,515,967,486.12/39,842.51
  6. Step 6: Final answer
    x = 188,641.93

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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.