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Finding the Third Proportional to 131,448 and 285,039

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Solution

The third proportional to 131,448 and 285,039 is: 618,094.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,448 : 285,039 = 285,039 : x
  2. Step 2: Convert to fraction form
    131,448/285,039 = 285,039/x
  3. Step 3: Cross multiply
    131,448x = 285,039 × 285,039
  4. Step 4: Simplify right side
    131,448x = 81,247,231,521
  5. Step 5: Solve for x
    x = 81,247,231,521/131,448
  6. Step 6: Final answer
    x = 618,094.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.