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Finding the Third Proportional to 30,480 and 39,600

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Solution

The third proportional to 30,480 and 39,600 is: 51,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,480 : 39,600 = 39,600 : x
  2. Step 2: Convert to fraction form
    30,480/39,600 = 39,600/x
  3. Step 3: Cross multiply
    30,480x = 39,600 × 39,600
  4. Step 4: Simplify right side
    30,480x = 1,568,160,000
  5. Step 5: Solve for x
    x = 1,568,160,000/30,480
  6. Step 6: Final answer
    x = 51,448.82

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.