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Finding the Third Proportional to 131,412 and 285,018

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Solution

The third proportional to 131,412 and 285,018 is: 618,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,412 : 285,018 = 285,018 : x
  2. Step 2: Convert to fraction form
    131,412/285,018 = 285,018/x
  3. Step 3: Cross multiply
    131,412x = 285,018 × 285,018
  4. Step 4: Simplify right side
    131,412x = 81,235,260,324
  5. Step 5: Solve for x
    x = 81,235,260,324/131,412
  6. Step 6: Final answer
    x = 618,172.32

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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.