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Finding the Third Proportional to 33,548 and 53,077

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Solution

The third proportional to 33,548 and 53,077 is: 83,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,548 : 53,077 = 53,077 : x
  2. Step 2: Convert to fraction form
    33,548/53,077 = 53,077/x
  3. Step 3: Cross multiply
    33,548x = 53,077 × 53,077
  4. Step 4: Simplify right side
    33,548x = 2,817,167,929
  5. Step 5: Solve for x
    x = 2,817,167,929/33,548
  6. Step 6: Final answer
    x = 83,974.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.