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Finding the Third Proportional to 51,378 and 109,320

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Solution

The third proportional to 51,378 and 109,320 is: 232,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,378 : 109,320 = 109,320 : x
  2. Step 2: Convert to fraction form
    51,378/109,320 = 109,320/x
  3. Step 3: Cross multiply
    51,378x = 109,320 × 109,320
  4. Step 4: Simplify right side
    51,378x = 11,950,862,400
  5. Step 5: Solve for x
    x = 11,950,862,400/51,378
  6. Step 6: Final answer
    x = 232,606.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.