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Finding the Third Proportional to 130,256 and 283,839

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Solution

The third proportional to 130,256 and 283,839 is: 618,509.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,256 : 283,839 = 283,839 : x
  2. Step 2: Convert to fraction form
    130,256/283,839 = 283,839/x
  3. Step 3: Cross multiply
    130,256x = 283,839 × 283,839
  4. Step 4: Simplify right side
    130,256x = 80,564,577,921
  5. Step 5: Solve for x
    x = 80,564,577,921/130,256
  6. Step 6: Final answer
    x = 618,509.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.