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Finding the Third Proportional to 238,671 and 515,898

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Solution

The third proportional to 238,671 and 515,898 is: 1,115,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,671 : 515,898 = 515,898 : x
  2. Step 2: Convert to fraction form
    238,671/515,898 = 515,898/x
  3. Step 3: Cross multiply
    238,671x = 515,898 × 515,898
  4. Step 4: Simplify right side
    238,671x = 266,150,746,404
  5. Step 5: Solve for x
    x = 266,150,746,404/238,671
  6. Step 6: Final answer
    x = 1,115,136.51

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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.