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Finding the Third Proportional to 39,168 and 83,520

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Solution

The third proportional to 39,168 and 83,520 is: 178,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,168 : 83,520 = 83,520 : x
  2. Step 2: Convert to fraction form
    39,168/83,520 = 83,520/x
  3. Step 3: Cross multiply
    39,168x = 83,520 × 83,520
  4. Step 4: Simplify right side
    39,168x = 6,975,590,400
  5. Step 5: Solve for x
    x = 6,975,590,400/39,168
  6. Step 6: Final answer
    x = 178,094.12

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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.