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Finding the Third Proportional to 57,538 and 77,738

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Solution

The third proportional to 57,538 and 77,738 is: 105,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,538 : 77,738 = 77,738 : x
  2. Step 2: Convert to fraction form
    57,538/77,738 = 77,738/x
  3. Step 3: Cross multiply
    57,538x = 77,738 × 77,738
  4. Step 4: Simplify right side
    57,538x = 6,043,196,644
  5. Step 5: Solve for x
    x = 6,043,196,644/57,538
  6. Step 6: Final answer
    x = 105,029.66

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.