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Finding the Third Proportional to 36,472 and 78,980

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Solution

The third proportional to 36,472 and 78,980 is: 171,030.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,472 : 78,980 = 78,980 : x
  2. Step 2: Convert to fraction form
    36,472/78,980 = 78,980/x
  3. Step 3: Cross multiply
    36,472x = 78,980 × 78,980
  4. Step 4: Simplify right side
    36,472x = 6,237,840,400
  5. Step 5: Solve for x
    x = 6,237,840,400/36,472
  6. Step 6: Final answer
    x = 171,030.94

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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.