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Finding the Third Proportional to 9,213 and 21,496.50

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Solution

The third proportional to 9,213 and 21,496.50 is: 50,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213 : 21,496.50 = 21,496.50 : x
  2. Step 2: Convert to fraction form
    9,213/21,496.50 = 21,496.50/x
  3. Step 3: Cross multiply
    9,213x = 21,496.50 × 21,496.50
  4. Step 4: Simplify right side
    9,213x = 462,099,512.25
  5. Step 5: Solve for x
    x = 462,099,512.25/9,213
  6. Step 6: Final answer
    x = 50,157.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.