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Finding the Third Proportional to 57,539 and 88,321

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Solution

The third proportional to 57,539 and 88,321 is: 135,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,539 : 88,321 = 88,321 : x
  2. Step 2: Convert to fraction form
    57,539/88,321 = 88,321/x
  3. Step 3: Cross multiply
    57,539x = 88,321 × 88,321
  4. Step 4: Simplify right side
    57,539x = 7,800,599,041
  5. Step 5: Solve for x
    x = 7,800,599,041/57,539
  6. Step 6: Final answer
    x = 135,570.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.