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Finding the Third Proportional to 39,548 and 84,120

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Solution

The third proportional to 39,548 and 84,120 is: 178,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,548 : 84,120 = 84,120 : x
  2. Step 2: Convert to fraction form
    39,548/84,120 = 84,120/x
  3. Step 3: Cross multiply
    39,548x = 84,120 × 84,120
  4. Step 4: Simplify right side
    39,548x = 7,076,174,400
  5. Step 5: Solve for x
    x = 7,076,174,400/39,548
  6. Step 6: Final answer
    x = 178,926.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.