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Finding the Third Proportional to 36,724 and 79,280

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Solution

The third proportional to 36,724 and 79,280 is: 171,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,724 : 79,280 = 79,280 : x
  2. Step 2: Convert to fraction form
    36,724/79,280 = 79,280/x
  3. Step 3: Cross multiply
    36,724x = 79,280 × 79,280
  4. Step 4: Simplify right side
    36,724x = 6,285,318,400
  5. Step 5: Solve for x
    x = 6,285,318,400/36,724
  6. Step 6: Final answer
    x = 171,150.16

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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.