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Finding the Third Proportional to 677,306.81 and 928,771.31

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Solution

The third proportional to 677,306.81 and 928,771.31 is: 1,273,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,306.81 : 928,771.31 = 928,771.31 : x
  2. Step 2: Convert to fraction form
    677,306.81/928,771.31 = 928,771.31/x
  3. Step 3: Cross multiply
    677,306.81x = 928,771.31 × 928,771.31
  4. Step 4: Simplify right side
    677,306.81x = 862,616,150,922.97
  5. Step 5: Solve for x
    x = 862,616,150,922.97/677,306.81
  6. Step 6: Final answer
    x = 1,273,597.33

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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.