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Finding the Third Proportional to 74,928 and 159,393

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Solution

The third proportional to 74,928 and 159,393 is: 339,073.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,928 : 159,393 = 159,393 : x
  2. Step 2: Convert to fraction form
    74,928/159,393 = 159,393/x
  3. Step 3: Cross multiply
    74,928x = 159,393 × 159,393
  4. Step 4: Simplify right side
    74,928x = 25,406,128,449
  5. Step 5: Solve for x
    x = 25,406,128,449/74,928
  6. Step 6: Final answer
    x = 339,073.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.