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Finding the Third Proportional to 15,579 and 35,055

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Solution

The third proportional to 15,579 and 35,055 is: 78,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,579 : 35,055 = 35,055 : x
  2. Step 2: Convert to fraction form
    15,579/35,055 = 35,055/x
  3. Step 3: Cross multiply
    15,579x = 35,055 × 35,055
  4. Step 4: Simplify right side
    15,579x = 1,228,853,025
  5. Step 5: Solve for x
    x = 1,228,853,025/15,579
  6. Step 6: Final answer
    x = 78,878.81

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.