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Finding the Third Proportional to 21,003.50 and 45,455

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Solution

The third proportional to 21,003.50 and 45,455 is: 98,372.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003.50 : 45,455 = 45,455 : x
  2. Step 2: Convert to fraction form
    21,003.50/45,455 = 45,455/x
  3. Step 3: Cross multiply
    21,003.50x = 45,455 × 45,455
  4. Step 4: Simplify right side
    21,003.50x = 2,066,157,025
  5. Step 5: Solve for x
    x = 2,066,157,025/21,003.50
  6. Step 6: Final answer
    x = 98,372.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.