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Finding the Third Proportional to 39,775 and 53,830

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Solution

The third proportional to 39,775 and 53,830 is: 72,851.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,775 : 53,830 = 53,830 : x
  2. Step 2: Convert to fraction form
    39,775/53,830 = 53,830/x
  3. Step 3: Cross multiply
    39,775x = 53,830 × 53,830
  4. Step 4: Simplify right side
    39,775x = 2,897,668,900
  5. Step 5: Solve for x
    x = 2,897,668,900/39,775
  6. Step 6: Final answer
    x = 72,851.51

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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.