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Finding the Third Proportional to 16,509 and 25,575

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Solution

The third proportional to 16,509 and 25,575 is: 39,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509 : 25,575 = 25,575 : x
  2. Step 2: Convert to fraction form
    16,509/25,575 = 25,575/x
  3. Step 3: Cross multiply
    16,509x = 25,575 × 25,575
  4. Step 4: Simplify right side
    16,509x = 654,080,625
  5. Step 5: Solve for x
    x = 654,080,625/16,509
  6. Step 6: Final answer
    x = 39,619.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.