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Finding the Third Proportional to 9,946.50 and 21,257

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Solution

The third proportional to 9,946.50 and 21,257 is: 45,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.50 : 21,257 = 21,257 : x
  2. Step 2: Convert to fraction form
    9,946.50/21,257 = 21,257/x
  3. Step 3: Cross multiply
    9,946.50x = 21,257 × 21,257
  4. Step 4: Simplify right side
    9,946.50x = 451,860,049
  5. Step 5: Solve for x
    x = 451,860,049/9,946.50
  6. Step 6: Final answer
    x = 45,429.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.