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Finding the Third Proportional to 9,912.50 and 21,553

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Solution

The third proportional to 9,912.50 and 21,553 is: 46,863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.50 : 21,553 = 21,553 : x
  2. Step 2: Convert to fraction form
    9,912.50/21,553 = 21,553/x
  3. Step 3: Cross multiply
    9,912.50x = 21,553 × 21,553
  4. Step 4: Simplify right side
    9,912.50x = 464,531,809
  5. Step 5: Solve for x
    x = 464,531,809/9,912.50
  6. Step 6: Final answer
    x = 46,863.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.