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Finding the Third Proportional to 17,710 and 39,355

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Solution

The third proportional to 17,710 and 39,355 is: 87,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710 : 39,355 = 39,355 : x
  2. Step 2: Convert to fraction form
    17,710/39,355 = 39,355/x
  3. Step 3: Cross multiply
    17,710x = 39,355 × 39,355
  4. Step 4: Simplify right side
    17,710x = 1,548,816,025
  5. Step 5: Solve for x
    x = 1,548,816,025/17,710
  6. Step 6: Final answer
    x = 87,454.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.