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Finding the Third Proportional to 57,395 and 76,980

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Solution

The third proportional to 57,395 and 76,980 is: 103,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,395 : 76,980 = 76,980 : x
  2. Step 2: Convert to fraction form
    57,395/76,980 = 76,980/x
  3. Step 3: Cross multiply
    57,395x = 76,980 × 76,980
  4. Step 4: Simplify right side
    57,395x = 5,925,920,400
  5. Step 5: Solve for x
    x = 5,925,920,400/57,395
  6. Step 6: Final answer
    x = 103,248.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.