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Finding the Third Proportional to 36,400 and 76,688

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Solution

The third proportional to 36,400 and 76,688 is: 161,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,400 : 76,688 = 76,688 : x
  2. Step 2: Convert to fraction form
    36,400/76,688 = 76,688/x
  3. Step 3: Cross multiply
    36,400x = 76,688 × 76,688
  4. Step 4: Simplify right side
    36,400x = 5,881,049,344
  5. Step 5: Solve for x
    x = 5,881,049,344/36,400
  6. Step 6: Final answer
    x = 161,567.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.