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Finding the Third Proportional to 39,755 and 53,800

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Solution

The third proportional to 39,755 and 53,800 is: 72,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,755 : 53,800 = 53,800 : x
  2. Step 2: Convert to fraction form
    39,755/53,800 = 53,800/x
  3. Step 3: Cross multiply
    39,755x = 53,800 × 53,800
  4. Step 4: Simplify right side
    39,755x = 2,894,440,000
  5. Step 5: Solve for x
    x = 2,894,440,000/39,755
  6. Step 6: Final answer
    x = 72,806.94

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.