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Finding the Third Proportional to 25,878 and 53,407

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Solution

The third proportional to 25,878 and 53,407 is: 110,221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,878 : 53,407 = 53,407 : x
  2. Step 2: Convert to fraction form
    25,878/53,407 = 53,407/x
  3. Step 3: Cross multiply
    25,878x = 53,407 × 53,407
  4. Step 4: Simplify right side
    25,878x = 2,852,307,649
  5. Step 5: Solve for x
    x = 2,852,307,649/25,878
  6. Step 6: Final answer
    x = 110,221.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.