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Finding the Third Proportional to 248,355 and 539,919

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Solution

The third proportional to 248,355 and 539,919 is: 1,173,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,355 : 539,919 = 539,919 : x
  2. Step 2: Convert to fraction form
    248,355/539,919 = 539,919/x
  3. Step 3: Cross multiply
    248,355x = 539,919 × 539,919
  4. Step 4: Simplify right side
    248,355x = 291,512,526,561
  5. Step 5: Solve for x
    x = 291,512,526,561/248,355
  6. Step 6: Final answer
    x = 1,173,773.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.