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Finding the Third Proportional to 220,138.88 and 477,921.38

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Solution

The third proportional to 220,138.88 and 477,921.38 is: 1,037,567.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,138.88 : 477,921.38 = 477,921.38 : x
  2. Step 2: Convert to fraction form
    220,138.88/477,921.38 = 477,921.38/x
  3. Step 3: Cross multiply
    220,138.88x = 477,921.38 × 477,921.38
  4. Step 4: Simplify right side
    220,138.88x = 228,408,840,681.89
  5. Step 5: Solve for x
    x = 228,408,840,681.89/220,138.88
  6. Step 6: Final answer
    x = 1,037,567.04

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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.