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Finding the Third Proportional to 39,360 and 54,896

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Solution

The third proportional to 39,360 and 54,896 is: 76,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,360 : 54,896 = 54,896 : x
  2. Step 2: Convert to fraction form
    39,360/54,896 = 54,896/x
  3. Step 3: Cross multiply
    39,360x = 54,896 × 54,896
  4. Step 4: Simplify right side
    39,360x = 3,013,570,816
  5. Step 5: Solve for x
    x = 3,013,570,816/39,360
  6. Step 6: Final answer
    x = 76,564.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.