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Finding the Third Proportional to 39,957.75 and 86,145.75

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Solution

The third proportional to 39,957.75 and 86,145.75 is: 185,723.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,957.75 : 86,145.75 = 86,145.75 : x
  2. Step 2: Convert to fraction form
    39,957.75/86,145.75 = 86,145.75/x
  3. Step 3: Cross multiply
    39,957.75x = 86,145.75 × 86,145.75
  4. Step 4: Simplify right side
    39,957.75x = 7,421,090,243.06
  5. Step 5: Solve for x
    x = 7,421,090,243.06/39,957.75
  6. Step 6: Final answer
    x = 185,723.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.