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Finding the Third Proportional to 131,912 and 283,822

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Solution

The third proportional to 131,912 and 283,822 is: 610,671.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,912 : 283,822 = 283,822 : x
  2. Step 2: Convert to fraction form
    131,912/283,822 = 283,822/x
  3. Step 3: Cross multiply
    131,912x = 283,822 × 283,822
  4. Step 4: Simplify right side
    131,912x = 80,554,927,684
  5. Step 5: Solve for x
    x = 80,554,927,684/131,912
  6. Step 6: Final answer
    x = 610,671.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.