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Finding the Third Proportional to 30,725.25 and 64,542

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Solution

The third proportional to 30,725.25 and 64,542 is: 135,578.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.25 : 64,542 = 64,542 : x
  2. Step 2: Convert to fraction form
    30,725.25/64,542 = 64,542/x
  3. Step 3: Cross multiply
    30,725.25x = 64,542 × 64,542
  4. Step 4: Simplify right side
    30,725.25x = 4,165,669,764
  5. Step 5: Solve for x
    x = 4,165,669,764/30,725.25
  6. Step 6: Final answer
    x = 135,578.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.