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Finding the Third Proportional to 561,408.75 and 1,218,775.50

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Solution

The third proportional to 561,408.75 and 1,218,775.50 is: 2,645,868.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,408.75 : 1,218,775.50 = 1,218,775.50 : x
  2. Step 2: Convert to fraction form
    561,408.75/1,218,775.50 = 1,218,775.50/x
  3. Step 3: Cross multiply
    561,408.75x = 1,218,775.50 × 1,218,775.50
  4. Step 4: Simplify right side
    561,408.75x = 1,485,413,719,400.25
  5. Step 5: Solve for x
    x = 1,485,413,719,400.25/561,408.75
  6. Step 6: Final answer
    x = 2,645,868.49

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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.