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Finding the Third Proportional to 36,939 and 78,495

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Solution

The third proportional to 36,939 and 78,495 is: 166,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,939 : 78,495 = 78,495 : x
  2. Step 2: Convert to fraction form
    36,939/78,495 = 78,495/x
  3. Step 3: Cross multiply
    36,939x = 78,495 × 78,495
  4. Step 4: Simplify right side
    36,939x = 6,161,465,025
  5. Step 5: Solve for x
    x = 6,161,465,025/36,939
  6. Step 6: Final answer
    x = 166,801.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.