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Finding the Third Proportional to 36,402 and 78,996

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Solution

The third proportional to 36,402 and 78,996 is: 171,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,402 : 78,996 = 78,996 : x
  2. Step 2: Convert to fraction form
    36,402/78,996 = 78,996/x
  3. Step 3: Cross multiply
    36,402x = 78,996 × 78,996
  4. Step 4: Simplify right side
    36,402x = 6,240,368,016
  5. Step 5: Solve for x
    x = 6,240,368,016/36,402
  6. Step 6: Final answer
    x = 171,429.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.