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Finding the Third Proportional to 35,728 and 78,366

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Solution

The third proportional to 35,728 and 78,366 is: 171,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,728 : 78,366 = 78,366 : x
  2. Step 2: Convert to fraction form
    35,728/78,366 = 78,366/x
  3. Step 3: Cross multiply
    35,728x = 78,366 × 78,366
  4. Step 4: Simplify right side
    35,728x = 6,141,229,956
  5. Step 5: Solve for x
    x = 6,141,229,956/35,728
  6. Step 6: Final answer
    x = 171,888.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.