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Finding the Third Proportional to 9,750 and 21,121

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Solution

The third proportional to 9,750 and 21,121 is: 45,753.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750 : 21,121 = 21,121 : x
  2. Step 2: Convert to fraction form
    9,750/21,121 = 21,121/x
  3. Step 3: Cross multiply
    9,750x = 21,121 × 21,121
  4. Step 4: Simplify right side
    9,750x = 446,096,641
  5. Step 5: Solve for x
    x = 446,096,641/9,750
  6. Step 6: Final answer
    x = 45,753.50

Related Problems

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1.5x scale

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.