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Finding the Third Proportional to 34,128 and 54,783

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Solution

The third proportional to 34,128 and 54,783 is: 87,938.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,128 : 54,783 = 54,783 : x
  2. Step 2: Convert to fraction form
    34,128/54,783 = 54,783/x
  3. Step 3: Cross multiply
    34,128x = 54,783 × 54,783
  4. Step 4: Simplify right side
    34,128x = 3,001,177,089
  5. Step 5: Solve for x
    x = 3,001,177,089/34,128
  6. Step 6: Final answer
    x = 87,938.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.