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Finding the Third Proportional to 131,656 and 285,182

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Solution

The third proportional to 131,656 and 285,182 is: 617,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,656 : 285,182 = 285,182 : x
  2. Step 2: Convert to fraction form
    131,656/285,182 = 285,182/x
  3. Step 3: Cross multiply
    131,656x = 285,182 × 285,182
  4. Step 4: Simplify right side
    131,656x = 81,328,773,124
  5. Step 5: Solve for x
    x = 81,328,773,124/131,656
  6. Step 6: Final answer
    x = 617,736.93

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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.