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Finding the Third Proportional to 21,120.50 and 45,361

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Solution

The third proportional to 21,120.50 and 45,361 is: 97,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120.50 : 45,361 = 45,361 : x
  2. Step 2: Convert to fraction form
    21,120.50/45,361 = 45,361/x
  3. Step 3: Cross multiply
    21,120.50x = 45,361 × 45,361
  4. Step 4: Simplify right side
    21,120.50x = 2,057,620,321
  5. Step 5: Solve for x
    x = 2,057,620,321/21,120.50
  6. Step 6: Final answer
    x = 97,422.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.