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Finding the Third Proportional to 130,258 and 283,843

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Solution

The third proportional to 130,258 and 283,843 is: 618,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,258 : 283,843 = 283,843 : x
  2. Step 2: Convert to fraction form
    130,258/283,843 = 283,843/x
  3. Step 3: Cross multiply
    130,258x = 283,843 × 283,843
  4. Step 4: Simplify right side
    130,258x = 80,566,848,649
  5. Step 5: Solve for x
    x = 80,566,848,649/130,258
  6. Step 6: Final answer
    x = 618,517.47

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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.