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Finding the Third Proportional to 36,838 and 78,702

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Solution

The third proportional to 36,838 and 78,702 is: 168,141.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,838 : 78,702 = 78,702 : x
  2. Step 2: Convert to fraction form
    36,838/78,702 = 78,702/x
  3. Step 3: Cross multiply
    36,838x = 78,702 × 78,702
  4. Step 4: Simplify right side
    36,838x = 6,194,004,804
  5. Step 5: Solve for x
    x = 6,194,004,804/36,838
  6. Step 6: Final answer
    x = 168,141.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.