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Finding the Third Proportional to 130,872 and 283,992

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Solution

The third proportional to 130,872 and 283,992 is: 616,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,872 : 283,992 = 283,992 : x
  2. Step 2: Convert to fraction form
    130,872/283,992 = 283,992/x
  3. Step 3: Cross multiply
    130,872x = 283,992 × 283,992
  4. Step 4: Simplify right side
    130,872x = 80,651,456,064
  5. Step 5: Solve for x
    x = 80,651,456,064/130,872
  6. Step 6: Final answer
    x = 616,262.12

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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.