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Finding the Third Proportional to 39,420 and 86,494

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Solution

The third proportional to 39,420 and 86,494 is: 189,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,420 : 86,494 = 86,494 : x
  2. Step 2: Convert to fraction form
    39,420/86,494 = 86,494/x
  3. Step 3: Cross multiply
    39,420x = 86,494 × 86,494
  4. Step 4: Simplify right side
    39,420x = 7,481,212,036
  5. Step 5: Solve for x
    x = 7,481,212,036/39,420
  6. Step 6: Final answer
    x = 189,782.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.