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Finding the Third Proportional to 16,515 and 35,718

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Solution

The third proportional to 16,515 and 35,718 is: 77,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,515 : 35,718 = 35,718 : x
  2. Step 2: Convert to fraction form
    16,515/35,718 = 35,718/x
  3. Step 3: Cross multiply
    16,515x = 35,718 × 35,718
  4. Step 4: Simplify right side
    16,515x = 1,275,775,524
  5. Step 5: Solve for x
    x = 1,275,775,524/16,515
  6. Step 6: Final answer
    x = 77,249.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.