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Finding the Third Proportional to 15,744 and 32,480

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Solution

The third proportional to 15,744 and 32,480 is: 67,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 32,480 = 32,480 : x
  2. Step 2: Convert to fraction form
    15,744/32,480 = 32,480/x
  3. Step 3: Cross multiply
    15,744x = 32,480 × 32,480
  4. Step 4: Simplify right side
    15,744x = 1,054,950,400
  5. Step 5: Solve for x
    x = 1,054,950,400/15,744
  6. Step 6: Final answer
    x = 67,006.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.