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Finding the Third Proportional to 29,378 and 57,280

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Solution

The third proportional to 29,378 and 57,280 is: 111,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,378 : 57,280 = 57,280 : x
  2. Step 2: Convert to fraction form
    29,378/57,280 = 57,280/x
  3. Step 3: Cross multiply
    29,378x = 57,280 × 57,280
  4. Step 4: Simplify right side
    29,378x = 3,280,998,400
  5. Step 5: Solve for x
    x = 3,280,998,400/29,378
  6. Step 6: Final answer
    x = 111,682.16

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.