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Finding the Third Proportional to 21,408.75 and 45,612

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Solution

The third proportional to 21,408.75 and 45,612 is: 97,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,408.75 : 45,612 = 45,612 : x
  2. Step 2: Convert to fraction form
    21,408.75/45,612 = 45,612/x
  3. Step 3: Cross multiply
    21,408.75x = 45,612 × 45,612
  4. Step 4: Simplify right side
    21,408.75x = 2,080,454,544
  5. Step 5: Solve for x
    x = 2,080,454,544/21,408.75
  6. Step 6: Final answer
    x = 97,177.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.