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Finding the Third Proportional to 131,439 and 285,021.75

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Solution

The third proportional to 131,439 and 285,021.75 is: 618,061.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,439 : 285,021.75 = 285,021.75 : x
  2. Step 2: Convert to fraction form
    131,439/285,021.75 = 285,021.75/x
  3. Step 3: Cross multiply
    131,439x = 285,021.75 × 285,021.75
  4. Step 4: Simplify right side
    131,439x = 81,237,397,973.06
  5. Step 5: Solve for x
    x = 81,237,397,973.06/131,439
  6. Step 6: Final answer
    x = 618,061.59

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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.