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Finding the Third Proportional to 53,118 and 82,899

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Solution

The third proportional to 53,118 and 82,899 is: 129,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,118 : 82,899 = 82,899 : x
  2. Step 2: Convert to fraction form
    53,118/82,899 = 82,899/x
  3. Step 3: Cross multiply
    53,118x = 82,899 × 82,899
  4. Step 4: Simplify right side
    53,118x = 6,872,244,201
  5. Step 5: Solve for x
    x = 6,872,244,201/53,118
  6. Step 6: Final answer
    x = 129,376.94

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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.