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Finding the Third Proportional to 53,880 and 85,558

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Solution

The third proportional to 53,880 and 85,558 is: 135,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,880 : 85,558 = 85,558 : x
  2. Step 2: Convert to fraction form
    53,880/85,558 = 85,558/x
  3. Step 3: Cross multiply
    53,880x = 85,558 × 85,558
  4. Step 4: Simplify right side
    53,880x = 7,320,171,364
  5. Step 5: Solve for x
    x = 7,320,171,364/53,880
  6. Step 6: Final answer
    x = 135,860.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.