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Finding the Third Proportional to 53,849 and 83,847

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Solution

The third proportional to 53,849 and 83,847 is: 130,556.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,849 : 83,847 = 83,847 : x
  2. Step 2: Convert to fraction form
    53,849/83,847 = 83,847/x
  3. Step 3: Cross multiply
    53,849x = 83,847 × 83,847
  4. Step 4: Simplify right side
    53,849x = 7,030,319,409
  5. Step 5: Solve for x
    x = 7,030,319,409/53,849
  6. Step 6: Final answer
    x = 130,556.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.