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Finding the Third Proportional to 10,425.50 and 21,275

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Solution

The third proportional to 10,425.50 and 21,275 is: 43,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.50 : 21,275 = 21,275 : x
  2. Step 2: Convert to fraction form
    10,425.50/21,275 = 21,275/x
  3. Step 3: Cross multiply
    10,425.50x = 21,275 × 21,275
  4. Step 4: Simplify right side
    10,425.50x = 452,625,625
  5. Step 5: Solve for x
    x = 452,625,625/10,425.50
  6. Step 6: Final answer
    x = 43,415.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.