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Finding the Third Proportional to 36,640 and 79,184

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Solution

The third proportional to 36,640 and 79,184 is: 171,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,640 : 79,184 = 79,184 : x
  2. Step 2: Convert to fraction form
    36,640/79,184 = 79,184/x
  3. Step 3: Cross multiply
    36,640x = 79,184 × 79,184
  4. Step 4: Simplify right side
    36,640x = 6,270,105,856
  5. Step 5: Solve for x
    x = 6,270,105,856/36,640
  6. Step 6: Final answer
    x = 171,127.34

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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.