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Finding the Third Proportional to 130,250 and 283,828

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Solution

The third proportional to 130,250 and 283,828 is: 618,490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,250 : 283,828 = 283,828 : x
  2. Step 2: Convert to fraction form
    130,250/283,828 = 283,828/x
  3. Step 3: Cross multiply
    130,250x = 283,828 × 283,828
  4. Step 4: Simplify right side
    130,250x = 80,558,333,584
  5. Step 5: Solve for x
    x = 80,558,333,584/130,250
  6. Step 6: Final answer
    x = 618,490.09

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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.