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Finding the Third Proportional to 677,353.50 and 928,821

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Solution

The third proportional to 677,353.50 and 928,821 is: 1,273,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,353.50 : 928,821 = 928,821 : x
  2. Step 2: Convert to fraction form
    677,353.50/928,821 = 928,821/x
  3. Step 3: Cross multiply
    677,353.50x = 928,821 × 928,821
  4. Step 4: Simplify right side
    677,353.50x = 862,708,450,041
  5. Step 5: Solve for x
    x = 862,708,450,041/677,353.50
  6. Step 6: Final answer
    x = 1,273,645.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.