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Finding the Third Proportional to 36,342 and 78,420

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Solution

The third proportional to 36,342 and 78,420 is: 169,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,342 : 78,420 = 78,420 : x
  2. Step 2: Convert to fraction form
    36,342/78,420 = 78,420/x
  3. Step 3: Cross multiply
    36,342x = 78,420 × 78,420
  4. Step 4: Simplify right side
    36,342x = 6,149,696,400
  5. Step 5: Solve for x
    x = 6,149,696,400/36,342
  6. Step 6: Final answer
    x = 169,217.34

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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.