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Finding the Third Proportional to 131,382 and 283,728

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Solution

The third proportional to 131,382 and 283,728 is: 612,729.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,382 : 283,728 = 283,728 : x
  2. Step 2: Convert to fraction form
    131,382/283,728 = 283,728/x
  3. Step 3: Cross multiply
    131,382x = 283,728 × 283,728
  4. Step 4: Simplify right side
    131,382x = 80,501,577,984
  5. Step 5: Solve for x
    x = 80,501,577,984/131,382
  6. Step 6: Final answer
    x = 612,729.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.