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Finding the Third Proportional to 238,815 and 521,919

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Solution

The third proportional to 238,815 and 521,919 is: 1,140,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,815 : 521,919 = 521,919 : x
  2. Step 2: Convert to fraction form
    238,815/521,919 = 521,919/x
  3. Step 3: Cross multiply
    238,815x = 521,919 × 521,919
  4. Step 4: Simplify right side
    238,815x = 272,399,442,561
  5. Step 5: Solve for x
    x = 272,399,442,561/238,815
  6. Step 6: Final answer
    x = 1,140,629.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.