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Finding the Third Proportional to 21,153 and 45,221.25

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Solution

The third proportional to 21,153 and 45,221.25 is: 96,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,153 : 45,221.25 = 45,221.25 : x
  2. Step 2: Convert to fraction form
    21,153/45,221.25 = 45,221.25/x
  3. Step 3: Cross multiply
    21,153x = 45,221.25 × 45,221.25
  4. Step 4: Simplify right side
    21,153x = 2,044,961,451.56
  5. Step 5: Solve for x
    x = 2,044,961,451.56/21,153
  6. Step 6: Final answer
    x = 96,674.77

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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.